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Physics 103
March 2024
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Physics 103
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March 9, 2024
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March 9 of 2024
Question 1 In the figure provided, a 139g ball on a 79.6cm rope is swung in a vertical circle about a point 174cm above the ground. If the tension in the rope when the ball is at the very bottom of the circle is 5.60N and a pair of scissors cuts the string directly below the point of support,ā¦
Problem 2 The time evolution of a spin- j particleProblem 2 The time evolution of a spin- j particle is governed by the Hamiltonian hat(H)=-mu B*hat(J)=-mu |B|hat(n)*hat(J). (a) Write down the Heisenberg equation of motion for hat(J). (b) Show that the spin precession frequency does not dependā¦
(}(ii) The wavefunction for a ring rotor has the form Psi (phi )=cos(m_(l)phi )+isin(m_(l)phi ). Find the values of phi at which nodes occur for both the real and imaginary parts of the wavefunction, for m_(1)=3. both the real and imaginary parts of the wavefunction, for mi=3. ($) = cos(m) + iā¦
Implement, either in simulation or on a mobile robot, a sensor-based attractive/repulsive potential function. Figure 4.21 (Left) The initial configuration of a two-link manipulator in a polygonal workspace. (Right) The configuration space of the two-link manipulator with a start and goalā¦
HW I An infinite plate is uniformly charged with charge density sigma. Normal vector to the plate is hat(i). The plate oscillates with velocity is v(t)= heta(t)v_0cos(omega t)k. a. Find magnetic and electrical field as a function of time (the fields satisfy the radiation condition at bothā¦
For a soft tissue boundary to be identifiable with ultrasound, which of the following statements are true? a. It must be stationary True b. At least 5% of the energy must be reflected back to the transducer True c. The acoustic impedance must be constant on either side of the boundary True d.ā¦
The motion of an electron of mass, m, and charge, -e, moving in a magnetic field, B=grad imes A(r), is described by the Lagrangian, L=(1)/(2)mr^(Ė)*r^(Ė)-er^(Ė)*A(r). Show that Lagrange's equation of motion leads to the Lorentz force law for the electron. The motion of an electron of mass, m,ā¦
Let's examine a diatomic molecule composed of two atoms bound in a three-dimensional configuration. However, there is no interaction between molecules, allowing us to treat them as an ideal gas. The molecule has the capability to rigidly rotate about two axes perpendicular to its axis ofā¦
Consider the quantum teleportation experiment shown on the previous page, where a and b are complex coefficients such that |a|^(2)+|b|^(2)=1, as usual. The component "BSM" performs a Bell-state measurement. Ideally, a Bell-state measure- ment returns an eigenvalue associated with measuring inā¦
S11. Suppose that the mass in a spring-mass-dashpot system with m = 1, c = 2, and k = 8 is set in motion (at t = 0) with x(0) = 0 and x'(0) = ā7. When x(t) > 0 the spring is stretched, and the spring is compressed when x(t) < 0. a) Find the position of the mass for all t > 0. b) Even though theā¦
Problem 29 given for context. *PLEASE ANSWER PROBLEM 30:* Assume that the quantum dot described in the previous problem contains only one electron occupying the lowest energy level. Since the zero-point energy for a particle in a box depends on the size of the box, it takes some amount ofā¦
You decide to build a small generator by rotating a coiled wire inside a static magnetic field of 0.38T. You construct the apparatus by coiling wire into 4 loops of radius 0.17m. If the coils rotate at 2.8 revolutions per second and are connected to a device with 120Omega resistance, calculateā¦
DATA TABLE 1 1. Using data table 1, graph acceleration (A) vs Net force (F). Make sure to lable axes properly. 2. Write the equation of the line in slope intercept form. 3. Given only the above equation from #2, what would you interpret the slope to be? DATA TABLE 1 Mass Applied Netā¦
Area V/c Canaritanco Q3. From the slope of the graph, and the theory discussed above, calculate the value of epsi lon_(0). Q4. Consider the known value of epsi lon_(0)=8.85 imes 10^(-12)(C^(2))/(N)m^(2). Compare this with the value you calculated by calculating the percentage error. Percentageā¦
We now want to quantify the error that we would make in estimating the annual mean power of the wind turbine by using the Weibull distribution with the parameters directly computed with the power density method at 140m. Compute the annual mean power of the wind turbine using the probabilityā¦
The Lagrangian for a relativistic point particle moving in one dimension is L=-mc^(2)sqrt(1-(x^(Ė)^(2))/(c^(2)))-V(x) where c is the speed of light. (a) Derive the equation of motion (b) Show that it reduces to Newton's second law in the limit x^(Ė)āŖc. 3. The Lagrangian for a relativistic pointā¦
a) Alpha decay is a two-body final state process, in which a nucleus ^(A)x_(Z) longrightarrow ^((A-4))Y_((Z-2)) + ^(4)He_(2) + Q_(alpha). If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au and (A-4)u, and that of the alpha particle is 4u, determine the relationā¦
For the beam shown in the below fiaure. the shear force at A is equal to A. w(l)/(6) B. w(l)/(3) C. wl D. 2w(l)/(3) W A A. wl/6 B. wI/3 C. wl D. 2wl/3
Consider a wire carrying a current. a. The current in a wire is 6.0 A. How many Coulombs of charge pass a cross-section of the wire in 3 seconds? b. If the current varies with time according to the equation I(t) = 6.00 A + (4.8 A/s) t, where t is in seconds, how many coulombs of charge pass aā¦
Use Kirchhoff's loop and junction laws to set up a system of equations for the circuit shown above. Solve the system of equations for the current flowing through the left, middle, and right branches, I1, I2, and I3. If R1 = 6.6Ī©, R2 = 2.9Ī©, R3 = 3.0Ī©, Īµ1 = 5.2V, and Īµ2 = 26.4V, calculate theā¦
Q3 The rotation-vibration interaction accounts for the unequal spacing of the lines in the P and R Branches of a rotation-vibration spectrum. Because the vibrational amplitude increases with the vibrational state, we expect that the equilibrium length of the diatomic molecule should increaseā¦
A ground penetration radar sends a plane wave with electric field E_{r,t}=15e^{-az}cos(22.5 imes 10t+z) through dry soil, with mu_{r}=1, epsilon_{r}=3.5, and sigma=0.01 S/m. The wave penetrates the ground (z=0) and hits a metallic plate at 10 meters below ground. (a) Is the dry soil a goodā¦
Use the wavefunction of a particle on the ring to calculate Ī“Ļ = ā((Ļ^(2)) - (Ļ)^(2)) Hint: (o) = ā«(Ļ) Ļ^(*)hat(O)Ļ*dĻ The wavefunction has to be normalized. Could you please write the calculations on paper 1. Use the wavefunction of a particle on the ring to calculate Ī“Ļ = ā(g) - (2) Hint: o =ā¦
Apply your knowledge of torques to make a mobile. Shown below are five horizontal arms with fixed weights attached (the numbers are the weights in "newton" units), and four connectors with ends that hook in the rings of the arms, lettered A through R and all equally spaced. You are to determineā¦
Consider the problem: c, Ļ, KāĪ±xĪ± < 0 cĻuā = (Kāuā)ā + Ī±u, 0 where c, Ļ, Kā, and Ī± are functions of x. Assume that the appropriate eigenfunctions are known. (a) Show that the eigenvalues are positive if Ī± < 0. (b) Solve the problem. Consider the problem: couā = Kou + au, 0 < x < L 0, = 0, Lt =ā¦
The saturation pressure of water vapor (P_(k_(s))) increases with temperature. The most commonly used equation for calculating the saturation pressure of water vapor as a function of temperature is the Antoine equation: P_(Vgs )=10^(K) K=A-((B)/(T+C)) where P_(kss ) is the saturation pressureā¦
Homework 3 - MSEG 825 Due on 02/27/2024 Consider a 2-atom system for which the initial energies of the isolated atoms are unequal (non-degenerate), i.e. ((p^(2))/(2m)+V_(1))|s_(1): where epsilon_(2)>epsilon_(1),|s_(1): and |s_(2): are the s orbitals of atoms 1 and 2, respectively, andā¦
Problem 2 The NYU is an advanced economy which only produces two goods: agriculture (for convenience, call it y ) and manufacturing ( x, also for convenience). Suppose its production possibilities frontier (PPF) is given by x^(2)+y^(2)=50. We also know that the linear function tangent to theā¦
A block of mass m is on a rough horizontal surface and is attached to a spring with spring constant k. The coefficient of kinetic friction between the surface and the block is Ī¼. When the block is at position x=0, the spring is at its unstretched length. The block is pulled to position x=+xā,ā¦
Derive the Wien displacement law, lambda _(max)T=0.2014(hc)/(k), by solving for the maximum of the quantum black body energy density distribution. Hint. After simplifying you get an equation that can only be solved numerically. At that point you can substitute in from the Wien displacement lawā¦
i) Evaluate the average energy and specific heat of a three-state system with energies and particle numbers, respectively, epsi -2a,epsi ,epsi +2a, and 2,0,2. ii) Evaluate the free energy and the entropy of a system of one particle with two states of energies 0 and epsi . Hint: For the entropyā¦
A rocket leaves Earth at a speed of 0.80c on its way to a planet a distance of 20 ly as measured by Earth. When the rocket gets to the planet, it sends a light signal to Earth. When does the signal get to Earth according to (i) Earth and (ii) rocket? Illustrate your answers with a spacetimeā¦
Write the matrix elements between the n=3 states of the hydrogen atom with magnetic number m=+1 as (phi _(3,1,+1),zphi _(3,1,+1))=C_(11)int_0^{infty} drF_(11)(r). Compute the angular part of the matrix element C_(11)=int d^{2}Omega Y_(1,+1)^{**}hat{z}Y_(1,+1) whenever it is non-vanishing. Hereā¦
Two resistors and a battery are arranged in two different ways, as shown. Each time, the current supplied by the battery is measured by an ideal ammeter. Use information from the figures below to determine the values of R_(1) and R_(2). 4.Two resistors and a battery are arranged in twoā¦
Free-Response Questions 6. Four point charges, each with a magnitude |q| = 6.0 nC, are fixed at different locations along the perimeter of a square of side length d = 4.0 cm. The origin of the xy-plane is fixed at the top right corner of the square. a. Draw and label a diagram that includes allā¦
In the figure a nonconducting spherical shell of inner radius a=2.15cm and outer radius b=2.51cm has (within its thickness) a positive volume charge density ho =(A)/(r), where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q=47.2fC isā¦
Given the cone, how much bigger would the volume of a cylinder need to be for it to be of equal height and equal diameter? 8ft 8ft Given the cone to the right,how much bigger would the volume of a cylinder need to be for it to be of equal height and equal diameter?
A long cylindrical solid conductor of cross-sectional radius R has linear charge density Ī». a) Sketch the cylindrical conductor and a cylindrical Gaussian surface of height h and radius r where r > R. b) Use Gauss's Law to derive an expression for the electric field strength in terms of r and Ī»ā¦
Block 1 is sitting on the floor of an elevator. A rope pulls vertically up on block 1 with a tension of 3 N. The elevator is moving downward and is speeding up with an acceleration with a magnitude of 3 (m/s^2). Draw the free body diagram for block 1 using the two-subscript notation fromā¦
Write the form of the partial fraction decomposition of each rational expression. Do not solve for the constants. (a) (26)/(x^2-9x) (b) (5x^2+7)/((x-6)^3) (c) (3x-8)/(x^3+13x) (d) (9x-2)/(x(x^2+8)^2)
SELF-TEST III (a) What is the maximum probability density of an n=3 electron in retinal (see Fig. 4-5 for diagram; the oxygen atom adds one Ļ electron to the Ļ-system, just as a carbon atom)? Do not include the bond-angle correction. (b) At what positions in the molecule does this maximumā¦
Consider a simple model of the hydrogen molecule: Two positive point charges, each with charge +e, are placed inside a sphere of radius R, which has a uniform volume charge density and a total charge of -2e. The two point charges are placed symmetrically (see Figure). a) Use Gauss' Law toā¦
Problem 2: [CLO-1] A Star has a temperature of 15,000K and a luminosity 5,000 times that of the Sun. Calculate the radius of this star compared to the radius of the Sun. Be quantitative. Given: Sun's temperature: 5,800K Problem 2: [CLO-1] A Star has a temperature of 15,000 K and a luminosityā¦
Legendre 21 Consider a uniformly charged straight rod of length L and total charge Q with one end at the origin. Determine the electric potential at the point P with polar coordinates r and heta (see figure). Give your results (a) for r>L, as well as (b) for heta =0r. Then check the validityā¦
An object with a mass of 1mg is attached to a spring with a spring constant of 10^(-3)N*m^(-1). In classical physics, calculate the energy and period of the "zero-point" vibration of the harmonic oscillator. (8 points) Calculate the energy of this harmonic oscillator in quantum mechanics andā¦
A particle has a potential energy given as a function of position x by U(x)=9x^(2)-4x. What is the force acting on the particle at x=a ? (A) -18a+4 (B) -18a-4 18a-4 (D) sadeg (-)/(_(a)^(-)) (E) ,-3a^(3)+2a^(2) Aparticle has a potential energy given as a function of position by U()= 92-4.Whatā¦
Consider a 3D space whose line element is given by: ds^(2)=(dr^(2))/(1-2(mu )/(r))+r^(2)(d heta ^(2)+sin^(2) heta dphi ^(2)) and determine the following quantities: a. the radial distance between the sphere of radius r=2mu and the sphere of radius r=3mu b. the 3 -volume contained between theā¦
Consider an electromagnetic wave with frequency = 1 GHz that propagates in the z-direction of a right-handed coordinate system (i.e., the coordinate system considered in the lecture). E_x = E_(0x)cos(Ļt - kz - Ļ_(x)) E_y = E_(0y)cos(Ļt - kz - Ļ_(y)) The total electric field vector is givenā¦
A system consists of N distinguishable particles and n phase space cells. The energy of the particles is non-degenerate whereA system consists of N distinguishable particles and n phase space cells. The energy of the particles is non-degenerate where epsi lon_(1)=epsi lon_(2)=epsiā¦
Explain the following proof: Confirm that the ground-state harmonic oscillator wavefunction is a solution of the Schrƶdinger equation: (d)/(dx)N_(0)e^(-(x^(2))/(2)alpha ^(2))=-N_(0)(x)/(alpha ^(2))e^(-(x^(2))/(2)alpha ^(2)) (d^(2))/(dx^(2))N_(0)e^(-(x^(2))/(2)alphaā¦
a) Show that the electric dipole moment of any nucleus must be zero. b) Obtain the Schmidt line value of the magnetic moment (in units of the nuclear magneton) corresponding to a nucleus of odd A whose odd nucleon is a neutron whose total angular momentum quantum number is j. A nucleus is inā¦
dsin(Īø) = nĪ»; n = 1, 2, 3 Use the small-angle approximation and rewrite the above equation in the form of a straight line with n on the y-axis and Īø on the x-axis. Describe in your lab report what this slope means. How do I convert this into a line and what does the slope mean? This is for aā¦
PLEASE ANSWER PROBLEM 38. Problem 36 provided for context. 36. For the one-dimensional harmonic oscillator with a force constant k and frequency o in the ground state, determine: (@)(x) (b)(x2) (c)(p) (d) (p2) 38.Using the results from the problem 36, find the average values of potential andā¦
Find the ratio of the fluxion of x to the fluxion of (1)/(x) using Newton's "synthetic" method of fluxions. This requires us to find the ratio ((x+0)-x)/((x+0)^(-1)-x^(-1)). The difficult part of this calculation is expanding (x+0)^(-1) using a power series. Find the ratio of the fluxion of xā¦
Value: This assignment is worth 5% of the total course grade. PART ONE: (80%) The Case: Drivers can share phone numbers. Drivers can only drive a truck once per day. A truck, washer, and booth can only ever be related once. Convert the above model to a set of normalized relations. Value:ā¦
Find v_(O) for the circuit given in the figure, assuming that v_(s)=(6cos(2t)+4sin(4t))V. Take C=350mF. The value of (x) + ") V. c 20 The value of vo= ( 4.65 cos(2t+ 39.62 ) + 3.70 O sin(4t+ 90 ) V.
Thevenin Model for Non-Ideal Sources Linear Battery Modeling Do you expect R_(TH) for the Alkaline battery to be high or low? able[[V_(TH)(V),R_(L)(Omega ),I_(L)(mA),R_(TH )(Omega ) VTH (V) RL (Ī©) 1000 2200 10.000 IL (mA) RTH (Ī©) Average Value: Alkaline Battery Thevenin Model: VTH= V RTHā¦
(c) Consider a "loose" fidelity metric -F_(HS)( ho _(1), ho _(2)) given by F_(HS)( ho _(1), ho _(2))=(Tr( ho _(1) ho _(2)))/(sqrt(Tr( ho _(1)^(2))Tr( ho _(2)^(2)))) This fidelity metric is easier to measure and compute in general, since it only has products of density matrices. However, twoā¦
g. Suppose you are driving in a convertible with the top down. You are driving due east. As shown in figure, you point a rifle straight upward, fire it and accelerate your car. In the absence of air resistance, where will the bullet land? i. behind you, ii. ahead of you, iii. in the barrel ofā¦
Is this correct? Prompt: From the slope of your graphs, the value for the gravitational acceleration could be determined, do so and calculate the corresponding percentage errors. You might need help for this part, just come to me or ask how to do it at the beginning of the lab. Slope = 0.04398ā¦
38-40) Find the value of Vout? +5 V stvuDigitatDevees 10 kĪ© o-WW 1k +5v-WWW 10kĪ© Vout 10 kĪ© ZD2 Di
Problem 4 (15 pt) A very long string of mass density mu and tension T is attached to a small hoop with negligible mass (see Fig. 3 left). The hoop slides on a greased vertical rod and experiences a vertical force F_(y)=-bdel(y)/(d)elt when it moves. (a) Apply Newton's law to the hoop to findā¦
Evaluate the probability of finding an electron in the center of the box, approximated as 0.495a to 0.505a for the 1^(st ) and 3^(rd ) levels of a particle-in-a-box, where a is the width of the box. Evaluate the probability of finding an electron in the center of the box, approximated as 0.495aā¦
Write down the transmission for an infinite collection of concentric rings of width R_(0) and a separation between the rings of B. The center is transparent. The rings alternate between opaque and transparent. Find the Fourier transform and sketch what might be seen. Apply fourier optics andā¦
The motion of a body of mass m, gravitationally attracted to Earth in the presence of a resisting drag force proportional to the square of its velocity v, is given by: mv(dv)/(dr) = -(GMm)/(r^(2)) + Īŗv^(2), v(R+h) = 0, where r is the distance to the center of the Earth, Īŗ > 0 is aā¦
11-9. The bar is pin-supported at points A, B, C, and D. If the normal force in the bar can be neglected, determine the vertical reaction at each pin. EI is constant. Prob. 11-9 11-9. The bar is pin-supported at points A, B, C, and D. If the normal force in the bar can be neglected, determineā¦
Assuming all of these objects weigh the same and their CoG's are at the same height, which would be the most stable (most able to resist a perturbation of size P)? A B C Assuming all of these objects weigh the same and their CoG's are at the same height, which would be the most stable (mostā¦
Consider the difference equation x_(t+1)=rx_(t)(1-x_(t)). a) Show that the equilibria are x=0 and x=(r-1)/(r). b) Use the theorem from class to determine the values of r for which x=0 is a stable equilibrium. c) Use the theorem from class to determine the values of r for which x=(r-1)/(r) is aā¦
If we replace the CD ( 700MB with a DVD ( 4.7GB, what happens to the width of the diffraction pattern? Without taking any new measurements, what can you tell about the number of lines /mm of DVDs as compared to CDs? How would you expect the pattern to change if you used a Blu-Ray disc (25 GB)ā¦
A scientist is watching a bug walk back and forth along a line. Suppose the line has a coordinate x, and let p(t) be the continuous function giving the bug's position on the line at time t (in sexonds). The scientist oberves the bug's motions and records what she sces: At t=0, the bug wasā¦
(i) Calculate the expectation value of the potential energy ((1)/(2)kx^(2)) of the v=0 wavefunction, as given by: Psi _(0)(x)= {(:((alpha )/(pi ))^((1)/(4))e^(-((1)/(2))x^(2)))(alpha =sqrt((kmu )/(ā)))}
162 University of South Alabama Physics PH 114/PH 115 Laboratory Manual Delta V=((B^(2))/(2)(e)/(m))R_(beam )^(2) Recall that the equation of a straight line can be written as y=mx+b where b is the y-intercept and m is the slope. Then, by inspection, if Delta V->y and R_(beam )^(2)->x, then weā¦
Mmmm donuts....Consider a gigantic homogeneous intergalactic plain donut wedged in the following position under the influence of Earth's gravity. Determine the contact forces between the donut and the frictionless surfaces. The outer diameter of the super donut is 24.0km while the innerā¦
10.23 At a particular time, the wavefunction of a mass m moving in a three-dimensional potential well is phi =A(x+y+z)e^(-k_(0)r) (a) Calculate the normalization constant A. (b) What is the probability that measurement of L^(2) and L_(z) finds 2ā^(2) and 0 , respectively? (See Table 9.1.) (c)ā¦
Find all formulas for the entries of M^n , where n is a positive integer. M=[-1,4,-8,11] - What are the coordinates of A,B,C,D? : What are the lengths of the three ropes? What are the angles subtended (angle of projection), of the three ropes and the x-y plane? 6 ft 1f Previous Ne
Question 10 Consider that now you have done the lab. Consider what would you need to do to change the system to a fully automated system that required no human intervention? Briefly state in the box below if you would change the lighting and how? (Limit your answer to 800 characters only.ā¦
Is there a minimum temperature possible? A maximum? Explain. The kinetic energy of a compact car moving at 90 miles per hour is 4.5 imes 10^(5)J. What mass of water in kilograms would this much energy heat from room temperature (20 degrees Celsius) to boiling point (100 degrees Celsius)? Inā¦
2.1 Write down the state equation representing the small perturbation longitudinal motion of the aircraft CHARLIE-3. 2.1 motion of the aircraft CHARLIE-3.
The 4 forces above add to zero net torque of the pulley around its central axis. If the magnitudes of the forces are F_(1)=6N,F_(2)=5N,F_(3)=9N and F_(4)=9N, and R is 0.5m, what is r in meters? All angles shown are right angles. F R F TM 4 The 4 forces above add to zero net torgue of the pulleyā¦
This is the decay scheme for a 2- parent nucleus. It is able to energetically beta decay into 4 different levels of a daughter nucleus. a. based on allowed and forbiden accounting, which of the decay paths are more probable, why? b. Rank the four transitions in likelihood. 2 2 4+ 2 0+ E
Consider the two situations shown below. The top two figures show a finite line of charge, of length L and charge density +lambda. The lower two show an infinite line of charge, also of charge density +lambda. Around each, we place the same Gaussian surface, a cylinder with height L and radiusā¦
Exercise 3.1 Derive the temperature of the system, and show that U = (2NĪµlon) / (e^(Ī²Īµlon) + 2), where Ī² = (1) / (k_B)T, as defined in Eq. (2.8, p. 47).
Find which matrix elements of the coordinate operator z between the n=3 states of the hydrogen atom can be nonzero and which are zero. Explain your answer using selection rules. Find which matrix elements of the coordinate operator z between the n = 3 states of the hydrogen atom can be nonzeroā¦
The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.23kg and is moving along the x axis with a velocity of 6.40(m)/(s). It makes a collision with puck B, which has a mass of 0.46kg and is inltially at rest. After the collision, the two pucks fly apartā¦
An LC circuit includes a 0.025-Ī¼F capacitor and a 340-Ī¼H inductor. Part A If the peak voltage on the capacitor is 190V, what is the peak current in the inductor? Express your answer in amperes. I_p = A Request Answer Incorrect; Try Again; 5 attempts remaining Part B How long after the voltageā¦
Derive a formula for the coefficient of performance of a refrigerator using an ideal gas as a working substance operating in the cycle shown below in terms of the pressure and volume in the states labeled 1, 2 and 3. Derive a formula for the coefficient of performance of a refrigerator using anā¦
Find the direction angles of the vector. Write the vector in terms of its magnitude and direction cosines, v=||v||[(cosalpha )i+(coseta )j+(cosgamma )k]. v=4i+5k {[:v=ā»^(-)(cosāØ')i+(cosā»^('))j+(cosdeg )k]} (Type integers or decimals rounded to the nearest tenth as needed.) Find the directionā¦
The Plummer model is a simple (but not very accurate) description of the mass distribution of a spherical star cluster or galaxy. It has two parameters: total mass M_(0) and "scale radius" a. As a function of the distance r from the center of the galaxy, the mass density is: Ļ(r) =ā¦
The decay width of particle a to three particles (i.e. a->1+2+3 ) is dGamma (a->1+2+3)=(|M_(a->1+2+3)|^(2))/(2m_(a)(2pi )^(5))delta ^(4)(p_(a)-p_(1)-p_(2)-p_(3))(d^(3)vec(p_(1)))/(2E_(1))(d^(3)vec(p_(2)))/(2E_(2))(d^(3)vec(p_(3)))/(2E_(3)), where |M_(a->1+2+3)| is the matrix element,ā¦
As an example of this, suppose you are on a planet that is 10 times more massive than the Earth and 2 times the radius of the Earth. The mass factor indicates that the gravity on the planet would be 10 times that of the Earth, but the radius term indicates the planet should haveā¦
Find the moment of inertia of a solid cylinder with mass m and radius r rotating around its axis of symmetry. (Hint: dm = Ļ dV = 2Ļrdr) 2) Find the moment of inertia of a solid cylinder with mass m and radius r rotating around its axis of symmetry. (Hint: dm = Ļ dV = 2Ļrdr)
You have completed the layout of the illustrated reflecting pool and its base. Both are regular polygons. The distances shown are from the midpoint of a side of the pool and the base to their shared center. You have been asked to provide the contractor with the area between the pool and theā¦
Problem 12: A constant force F acts on a mass m that is initially at rest. Graph the power supplied by that force as a function of time. You will certainly need to calculate something so that you know what to graph. On the same graph, plot the power if the force had been twice as large.
Calculate the work (kJ) done during a reaction in which the internal volume expands from 28.4L to 10.4L against an outside pressure of 2.09atm(1L-atm)=(101.3J) Calculate the work (kJ) done during a reaction in which the internal volume expands from 28.4 L to10.4 L against an outside pressure ofā¦
Question 1 - Angular Dependence and Spherical Harmonics a. First, we will visualize the angular dependence of these orbitals, i.e., their "shapes". Plot the probability density of the angular part of the atomic wavefunctions when l=0 through l=2,Y_(l)^(m). Remember that m_(l) can equal anā¦
Problem 1 For the following figure, determine the moment of the forces shown about points: i) S ii) R Write your answer with units. No need to convert units here. Problem 2 The truss in the figure below is acted on by forces as shown. Determine the resultant (force) and its location withā¦
A nurse is caring for a client who is at high risk of breast cancer and has been prescribed a magnetic resonance imaging (MRI) scan. The client asks why a mammogram was not prescribed. Which of the following statements should the nurse make? "The MRI is a more sensitive diagnostic testingā¦
Relative humidity ( RH or (O)/() ) of a moist air is the ratio of vapor pressure (P_(k)) to the saturation pressure (P_(vas )) at the same temperature. Determine the water vapor pressure when (a) T=40 ģ¼, RH=70% (b) T=74%F,RH=50% You might need the information in the previous question toā¦
Rotated triangular plate The plate in Exercise 39 is revolved 180deg about line AB so that part of the plate sticks out of the lake, as shown here. What force does the water exert on one face of the plate now? 39. Triangular plate The isosceles triangular plate shown here is submergedā¦
Consider the Hamiltonian H=([E,0,a],[0,E,b],[a^(**),b^(**),E^(')]),|a|,|b|āŖ|E-E^(')| Compute the energy eigenstates using second order degenerate perturbation theory. Consider the Hamiltonian /E 0 H= 0 E b* a b |a|,|b|<|E-E| Compute the energy eigenstates using second order degenerateā¦
(i) (dx_(1))/(dt)=5-(7x_(1))/(100)+(2x_(2))/(100) (dx_(2))/(dt)= (dx_(3))/(dt)= Use the information given in the figure below to construct a mathematical model for the number of pounds of salt t,t),and t at tme t in tanks A,B,and C,respectively pure water 5 gal/min mixture 2gal/min mixture 1ā¦
Show that the probability density (Psi^*(Psi) is time-independent for the state Psi_k(q, t) = psi_k(q)Phi_k(t) that corresponds to the energy E_k. First determine the functions Phi(t) from solving the time-dependent Schrƶdinger equation, then calculate the probability density.
What is the amplitude of the electric field of the laser's light? What is the amplitude T_(0) of the magnetic field of the laser's light? What is the average energy density of the laser's light? r_(0)= Hostrot: An instructor's laser pointer produces a beam of light with a circular cross-sectionā¦
Consider a 6f electron. a) Calculate the polar angle of the angular momentum vector of a single 6f electron of which m=-2. [2 pnts] b) Sketch the radial part of the 6f wave function (rR6f). [2 pnts] c) Consider all radial wave functions of hydrogen that have a similar shape as the 6f radialā¦
(a) Use the following table to compute the intensity of reflected sound for normal incidence between each of the following interfaces: (1) Fat and muscle, (2) bone and soft tissue, (3) air and soft tissue. (b) Use your results to explain why this presents difficulties for ultrasound imaging ofā¦
A plastic milk carton partly filled with water floats in the ocean with 35% of its volume below the surface. The density of the ocean water is 1025k(g)/(m^(3)). What is the average density of the container (including the water inside it)? 003 A plastic milk carton partly filled with waterā¦
Choose the best answer from the given options. (10**1)=(10) a. Suppose you are driving due east, traveling 1500m in 2 minutes. You then turn due west and travel the same distance at the same time. Which of the following statements are. [Select all that apply] i. The average speeds are the same,ā¦
Analyzing the free body diagram around the three masses with Newton's second law (Sigma F=ma) resulted in the following three equations, which form a tridiagonal and symmetricalā¦
What did you measure for the Young's modulus of the elastic? Don't forget that you measured force in Newtons (N) and length in centimetres (cm) and look at your Young's modulus equation to see what other values are needed for this calculation! Express your answer in units of MPa (megaPascals)ā¦
Part 1 The voltage across a 38 millifarad capacitor is zero for time t up to and including zero and v(t) = 4t exp{-t^2/13} volts for t>0 (time in seconds). At what tike is the energy stored in the capacitor a maximum? Part 2 What is that maximum energy? Part#1-Score:0/10 Time ofā¦
Resistance is 17.0 Ī©. (a) Draw a circuit diagram of the toy and its batteries. (Submit a file with a maximum size of 1 MB.) No file chosen (b) What current (in A) flows? A (c) How much power (in W) is supplied to the load? W (d) What is the internal resistance (in Ī©) of the dry cell if it goesā¦
Print or sketch the three motion graphs. The graphs you have recorded are fairly complex and it is important to identify different regions of each graph. Click Examine, and move the mouse across any graph to answer the following questions. Record your answers directly on the printed or sketchedā¦
Ask a questionTo prove that the expression for the total energy density u, obtained by integrating over all frequency ranges in blackbody radiation, is equivalent in form to the Stefan-Boltzmann law: W=sigma T^(4) where sigma is the Stefan-Boltzmann constant, and W represents theā¦
(a) Calculate the position of the radial node of the 2s orbital. The wave function of the 2s orbital is given as psi _(200)=(1)/(4sqrt(2pi ))((1)/(a_(0)))^((3)/(2))(2-(r)/(a_(0)))e^(-(r)/(a_(0))) (b) Calculate the most probable position of the electron in this orbital. Hint:ā¦
Kindly solve this question relating to ADVANCED WELL LOGGING Q3. Drilling of a 16,200-ft borehole was finished at 1:30 a.m.The mud was then circulated until 4:00 a.m. Three logging tools were run to TD successively. The tool type, the time the tool moved off bottom, and the maximum recordedā¦
Could you please assist me? Please ensure that both the answer and the steps are clear. Thanks for your time. The subject is "Electronic Devices and Modern Physics: Solid State Electronic Devices." 1. Consider a diamond lattice structure with a = 6 Angstroms. If Si has a 28 g/mol atomicā¦
The thin plastic rod has length L and linear charge density lambda =c**x, where c is a constant. With V=0 at infinity, a. Find electric potential at point P_(1) on the x-axis, at a distance d from one end. b. Find electric potential at point P_(2) on the y-axis, at y=D. c. Find the electricā¦
Find the total resistance of the combination of resistors: 3. Find the total resistance of the combination of resistors: R=1.00 R = 6.00 Rz = 13.00
Vvs t Part A In lab 2 we looked at position vs time graphs and saw that slope was related to this thing called velocity. For the following data, make a plot and determine the velocity: able[[t(s),x(m) Vvst Part A In lab 2 we looked at position vs time graphs and saw that slope was related toā¦
Using du in Problem 10, and the text method of obtaining (11.27), show that ((delT)/(delv))_(s)=-((delp)/(dels))_(v). (This is one of the Maxwell relations in thermodynamics.) 10. Given du = T ds - p du, find a Legendre transformation giving (a) a function f(T,v); (b) a function h(s,p); (c) aā¦
8.23 AÅaÄıda verilen saf olmayan elemanların, yanlarında verilen kĆ¼mesel parametre modelleriyle eÅdeÄer olduÄunu gƶsterin. -= (a) /bar ()=() (b) 000000 k,J J/3 (0) 00000000 m,k m/3 (b)
The tones produced when pressing a key on a telephone are standardized as per the table below---two tones are played, one high-frequency tone and one low-frequency tone. The low-frequency component is determined by the key's row on the telephone, and the high-frequency component by the key'sā¦
For this project, can I get the details step by step. you can use Sagemath for differentiation, how to set up the simulation and how does kinetic and potential energy help finding the solution. how to find the graph etc. Instructions are given in the picture. Introduction: It is the year 16705ā¦
Problem 3 In Fig. 3, five point charges q are positioned at the vertices of an hexagon with side length l. Another point charge Q is placed at the center. Please do not make any assumptions about the nature of the charges (magnitude and polarity). It will be specified for each problem. Iā¦
This problem refers to Figure 3. There is a solid sphere of radius l located at the center of a hollow (infinitely thin) spherical shell of radius L. Suppose the inner solid sphere has a uniform charge density ho (this is charge per unit volume), and the outer spherical shell has uniformā¦
1) The (Other) frame Kā moves with respect to the (Home) frame K with eta = 2/5. An event E is observed in the Kā frame at the following coordinates: (tā, xā) = (2, 3). Draw, on a graph paper or a suitable coordinate grid, a two-observer space-time diagram, with appropriately scaled andā¦
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The cross section of a concrete dam is shown in the figure. Consider a 1-ft-wide section of the dam and take h=11ft. Given, the specific weight of the fresh water,ā¦
Question 4 (1 point) What is the power required to accelerate a 10kg mass from a velocity of 5(m)/(s) to a velocity of 15(m)/(s) in 3 seconds? 333W 225 W 167W 33W Question 4 (1 point) What is the power required to accelerate a 10 kg mass from a velocity of 5 m/s to a velocity of 15 m/s in 3ā¦
(Pr. 4) If a soft material has a dielectric response characterized by a single relaxation time Ļ, then the polarization P obeys the equation: dP/dt = -(1/Ļ)[P(t) - ĻsĪµ0E(t)], where Ļs is the static electric susceptibility. (a) Under an applied sinusoidal field given, in complex notation, byā¦
Find the solution y(t) of the given IVP: 6y'' + y' - 2y = 0, y(0) = 1, y'(0) = 4 y(t) = 2e^(2/3)t - 4e^(1/2)t y(t) = 3e^(2/3)t - e^(4/3)t y(t) = 4e^(1/2)t - 3e^(-2/3)t y(t) = 5e^(-1/2)t - 2e^(2/3)t Find the solution y(t) of the given IVP: 6y + y - 2y = 0, y0 = 1, 0 = 4 Oyt = 2ei - 4e Oyt = 3eiā¦
State space representation of the system: Ta(1) 82W^2 W K2 K B2 XXX B, K0-0 K0 (3 K0-0 Bzw^2 BW Lwn
Angular momentum in quantum mechanics is given by **L** = **L**_x**i** + **L**_y**j** + **L**_z**k** with components **L**_x = **y** **p**_z - **z** **p**_y, **L**_y = **z** **p**_x - **x** **p**_z, **L**_z = **x** **p**_y - **y** **p**_x. (a) Use the known commutation rules for **x**, **y**,ā¦
If the poles or zeros in the s-plane are presented as below, what would its time response look like? c(t) If the poles or zeros in the s-plane are presented as below, what would its time response look like? s-plane 1.2 0.8 0.6 0.4 0.2 0 1 2 3 4 S c(r) 150-1= 7 0 1 2 3 c(n c=1-3te-3r-e-3 80ā¦
Problem 1 - Suspended Masses Three masses hang off of the ceiling in the following configuration. The mass m1 is exactly half of the mass of m2. Pick the following variables (different from your friends/partners): Mass m1 between 0.25 kg and 0.75 kg An angle Īø1 between 15Ā° and 25Ā° Problem:ā¦
Consider the 2-sphere with the metric ds^2 = gabdx^adx^b = a^2((dr^2)/(1-r^2) + r^2dĪø^2) where a is a constant with length dimensions, 0 <= Īø < 2Ļ and 0 <= Īø < 2Ļ. a. Make a drawing of each of the coordinate curves b. Show that with this coordinate system it is not possible to cover the entireā¦
A -2.5mu C point charge and a -3.3mu C point charge are a distance L apart. Where should a test charge be placed so that the electric field is zero? 5.A-2.5uC point charge and a -3.3 uC point charge are a distance L apart.Where should a test charge be placed so that the electric field is zero?
With the 3-view drawing and vertical fin detailed in the de Havilland DHC-6 Twin Otter aircraft, estimate the vertical fin values left blank in the table for a cruise condition of 250 ft/s at 10,000 ft altitude. The other table provided may help with calculations. Select aircraft vertical finā¦
There are 2 boxes with the mass of box 1 = mā = 1 kg and box 2 = mā = 2 kg. Box 1 is being pushed with a force of 10 N. Both boxes move together. The surface between the boxes and between the ground and the box have a coefficient of static friction Ī¼s = 0.5 and a coefficient of kinetic frictionā¦
{:M(del^(2)(u_(s))/(d)elt^(2))=F=C(u_(s+1)+u_(s-1)-2u_(s))] HW 4-3 Continuum wave equation. Show that for long wavelengths the equation of mo- tion (2) reduces to the continuum elastic wave equation (del^(2)u)/(delt^(2))=v^(2)(del^(2)u)/(delx^(2)), where v is the velocity of sound. , (Hintā¦
Determine the x - and y-coordinates of the centroid of the shaded area. Assume c=5,a=1.10,b=2.05,x an y are in inches. y Answer: in. xy=i Answer: a Assume c = 5, a = 1.10, b = 2.05, x an y are in inches. Determine the x- and y-coordinates of the centroid of the shaded area. in.
Consider the system below. Find the equations of motion xā(t) and xā(t) for the given initial conditions if: kā=1 N/m kā=2 N/m mā=3kg mā=4kg Hints: You must show most of your work for full credit. You may use MATLAB to invert the A matrix. Of course, you may use calculators at any time. Watchā¦
For the following questions assume that the potential is given by: V(x<=-a)=infty V(-a<=x<=3a)=0 V(x>=3a)=infty (a) Write the boundary conditions for this problem. (b) Write Schrƶdinger equation for this problem. (c) Assume the general solution for this equation is psi (x)=Asin[k(x+a)]. Whatā¦
5-58. Use the rigid rotator-harmonic oscillator model and the data in Table 4.2 to plot /bar (C)_(P)(T) for CO(g) from 300K to 1000K. Compare your result with the expression given in Problem 5-43. for CO(g from 300 K to 1000 K.Compare your result with the expression given in Problem5-43
Draw a FBD for the following objects that shows the relative magnitude and direction of all the forces acting on that object. You only need to consider forces that are listed in the table on slide 17 in Video 7A: Free Body Diagrams. C. Antique light hanging trom tne roor 2. Draw a FBD for theā¦
Problem 5: Matrix representation of the ladder operators Consider the quantum harmonic oscillator with ladder operators whose action is given by, hat(a)_(-)psi _(0)=0,hat(a)_(-)psi _(n)=sqrt{n}psi _(n-1),(n=1,2,3,dots) hat(a)_(+)psi _(n)=sqrt{n+1}psi _(n+1),(n=0,1,2,dots) a. Find the matrixā¦
14.18 Which of the following fields are path independent; surface independent; both; or neither? Do path independence only (a) yhat(i)-xhat(j) (b) r (c) -hat(i)sinxcoshy+hat(j)cosxsinhy (d) xy^2hat(i)-x^2yhat(j) (e) Ļzhat(Ļ)
Problem 1: [CLO-5] In the center of the Milky Way galaxy, there is a supermassive black hole called Sagittarius A^(**)(SgrA^(**)). The radius of this black hole is about 12 million km. The Mass of this Black hole is 4 imes 10^(6)M_(sun ) (i.e. 4 million times the mass of the Sun) a- Calculateā¦
Q4 Derive the selection rules for vibrational and rotational transitions using the long wavelength approx- imation for the external electromagnetic wave. Q4 Derive the selection rules for vibrational and rotational transitions using the long wavelength approx imation for the externalā¦
NOTE: Before you come to the lab you should: (i) become familiar with the analysis of the "Circuit 1" from "Appendix - Sample Calculation" and the determination of the analytical formula for the current i_(3). (ii) do a similar analysis of the "Circuit 2" in order to determine an analyticalā¦
P.2-14 Express the heta -component, E_( heta ), of a vector E a) in terms of E_(x),E_(y), and E_(z) in Cartesian coordinates, and b) in terms of E_(r) and E_(z) in cylindrical coordinates. Express the 0-component.Eof a vector E a in terms of ExEy,and E.in Cartesian coordinates,and b in termsā¦
1.) Suppose you had an object on a surface with a string attached to the side of the object such that it can be pulled along the surface with a variable amount of force. (a) In a few sentences, outline how you could vary the applied force to determine the maximum static friction. On a force vs.ā¦
For small diffraction angles Bragg's Law can be written as dr=lambda L, where d is the interplanar spacing ( d-spacing), r is the radial distance between the center of the zero-order spot and the associated spot or ring, lambda is the wavelength of the incident electrons and L is the distanceā¦
PROCESS B ->C THE ISOBARIC PERFORMANCE STROKE Process B->C is the PERFORMANCE STROKE of this engine because this is when the machine lifted the load. Lifting the load was the purpose of the engine. The process is isobaric because it happens at atmospheric pressure, while the load keeps aā¦
A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 g's.
C/4, C/4, C/4, C/4
The temperature dependence of resistivity for two materials is given by P1(T) ~ P1,0(1 + a1(T - To)), P2(T) ~ P2,0(1 + a2(T - To)), where a1 and a2 are the temperature coefficients of resistivity for the two materials and |a1(T - To)| < 1 and |a2(T - To)| < 1. It is known that P2(To)/P1(To) =ā¦
Consider a layer of the atmosphere between two pressure levels as shown below. Suppose that the flow is horizontally convergent in a thin layer near the bottom boundary and horizontally divergent in a thin layer near the bottom boundary. Assume that the flow is non-divergent elsewhere. a. Basedā¦
A brick is thrown upward from the top of a building at an angle of 25 degrees to the horizontal and with an initial speed of 12 m/s. If the brick is in flight for 3.5 s, how tall is the building? Need Help? Submit Answer
Answer = 0.476 rad/s^2 Please include free body diagram, kinetic diagram and explain each step. 17-75. The man pulls up on the cord with a force of 80 N. Determine the angular acceleration of the spool if there is no slipping at A. The spool has a mass of 60 kg and a radius of gyration aboutā¦
2.(a) Describe the two-dimensional primitive unit cell of a honeycomb lattice (graphene). What type of lattice is formed? What is the basis? Draw one unit cell. (b) By cutting a honeycomb lattice we get regular edges. How many types of edges are there? Discuss main/different features of theseā¦
For the circuit below, let L=0.4mH,C=1pF,R_(C)=100Omega , and R_(O)=3.8kOmega . Calculate: a. The impedance, Z_(i)(jomega ), seen by the input V_(i)(jomega ) b. The frequency response of the circuit, H(jomega )=v_(out )(jomega )/(V_(i))(jomega ). c. Then calculate |H(jomega )| at omega =0,inftyā¦
In class your instructor derived the strength of an electric field a distance "r" from an infinitely long, infinitely thin, uniformly charged wire whose charge per unit length was lambda . The answer was that the electric field was given by vec(E)=(lambda )/(2pi epsi _(o)r)hat(r), where hat(r)ā¦
2.27. Figure 2-3 depicts the electric field (in the y-direction) of a planar electromagnetic wave traveling in the positive x-direction in vacuum. Determine the corresponding B-field. Ans. B_(x)=B_(y)=0,B_(z)=6.6 imes 10^(-8)cos2pi 10^(3)(x-3 imes 10^(8)t) Fig. 2-3 Fig. 2-4 2.27. Figure 2-3ā¦
Class: Intermediate Fluid Mechanics. I need help understanding these notes. They're for Blasius solutions in fluid mechanics, but I can't make heads or tails of this information. Starting with the psi relationships, and especially the d(psi)/dy term, I have no idea what he's doing for the U =ā¦
An electron trapped in a solid defect is modeled as a 1-dimensional particle in a box. It has the wave function Ļ(x) = 0.230Ļā(x) + 0.973Ļā(x). What is the probability that the wave function is in the n=2 state?
P8.6 Consider a 2D spacetime whose metric is ds^(2)=-e^(-(x)/(a))dt^(2)+dx^(2) where a is a constant with units of meters. (Unlike the spacetime in problem P8.5, the underlying geometry of this spacetime is not flat.) a. Show that the t component of the geodesic equation implies thatā¦
The Planck radiation law is given by: Ļ(v)dv = (8Ļ)/(c^(3))(hv^(3))/(e^((hv)/(kT))-1)dv To prove that the Planck radiation law can be approximated by Wien's law Ļ(v)dv = Cāv^(3)e^(-Cā(v)/(T))dv at short wavelengths. (5 points) To prove that the Planck radiation law can be approximated by theā¦
The electric charge of the proton is not concentrated in a point but rather, distributed over a volume. According to experimental investigations at the Stanford Linear Accelerator, the charge distribution of the proton can be approximately described by a charge density which is an exponentialā¦
I need help with part B. Problem 2: 3Pf-3 AF dE=ICESiNO tuat cancels out its direction r=n2+d2 R (b) Find an expression for the electric field at point P. Your answer should be a symbolic expression that only depends on the variables k, Q, R, and d. Hint: you will have to break the line up intoā¦
(b) Consider now the case where Ļā, Ļā are possibly mixed, and show that (1/2)||Ļā-Ļā||ā ā¤ ā(1-FĀ²(Ļā, Ļā)). To establish this, you will have to use the fact that trace-norm is contractive under partial trace i.e. if Ļā', Ļā' are density matrices over a space HāāHā larger than the original spaceā¦
Assume the one-dimensional particle wave function is psi = A(1+x)e^{-alpha x}, ext{ for } x>0, A(1-x)e^{alpha x}, ext{ for } x<0, ext{ where } a ext{ is constant.} (a) If the potential field is continuous, please calculate the normalized wave function. (5 points) (b) If at x=infty, V(x)=0,ā¦
HW-4-1. For a system of 2 different atoms / unit cell, show that a) The acoustic mode in the q->0 limit corresponding to 2 atoms in the unit cell moving in phase with each other : *->0-> or larr*larr0,*= atom with mass M_(1), and O= atom with M_(2). b) The optical mode in the q->0 limitā¦
a) Develop the model of the following system. Input f(t) Output Īøā(t), Īøā(t) a) Develop the model of the following system. Input f(t) Output Īøā(t), Īøā(t)
Fine structure and hyperfine structure of hydrogen atoms (given by Dirac equation - relativity quantum mechanics) (1) Calculate the energy levels of n=1,2, and 3 for hydrogen atom when only considering the electrostatic interaction (Coulomb force) between the nucleus and the electron. Theā¦
Consider a square well pair interaction energy given by u(r)={(infty, for r<=d),(-epsilon, for d+Delta):} Calculate the second virial coefficient. 2. Consider a square well pair interaction energy given by u(r)={0, for r<=d),(-epsilon, for d+Delta):} Calculate the second virial coefficient.
Plot the majority carrier concentration for a doped (extrinsic) semiconductor as a function of temperature. Compare this with an intrinsic semiconductor. What is freeze-out? [5] 3. Plot the majority carrier concentration for a doped (extrinsic) semiconductor as a function of temperature.ā¦
EEL 3003 , sec. 2 Homework #3 Sp24 5. For the circuit below, let L=0.4mH,C=1pF,R_(C)=100Omega , and R_(O)=3.8kOmega . Calculate: a. The impedance, Z_(i)(jomega ), seen by the input V_(i)(jomega ) b. The frequency response of the circuit, H(jomega )=v_(out )(jomega )/(V_(i))(jomega ). c. Thenā¦
State Newton's 2nd law. If an object has a mass of 200 grams and the net force acting upon that object is 5N, what is the acceleration of that object? Two objects have masses mā and mā, respectively. If mā = 2mā, and the same force F is applied on these two objects, what would be the ratio ofā¦
Compute the Wronskian of: f_(1)(t) = cos(at), f_(2)(t) = cos(a(t-c)), a, c = const ā 0 (recall: sin(x+y) = sin(x)cos(y) + cos(x)sin(y)) cos(x-y) = sin(x)cos(y) - cos(x)sin(y) 2cos(ac)sin(ac) acos(ac) asin(ac) 2sin^(2)(ac) Compute the Wronskian of: 0 + u = p - s = fso = f recall: sin + y = sinā¦
Problem Set #1 1. Find the resultant of the forces acting on the eyebolt. 2. Determine the magnitude of Q and Theta . R is the resultant of P and Q attached to the support. 3. Determine the resultant R of the three given tension forces. Find the magnitude of R and the angle heta , which Rā¦
Q4. Find the curl of the vector field. vec(V)(x,y,z)=(x^2)y,3y,5)=x^2yhat(i)+3yhat(j)+5hat(k) ((vec(grad)) imes (vec(V)))=((delV_z)/(del y)-(delV_y)/(del z))(hat(i))-((delV_z)/(del x)-(delV_x)/(del z))(hat(j))+((delV_y)/(del x)-(delV_x)/(del y))(hat(k)) Q4. Find the curl of the vectorā¦
The voltage drop across resistor #4 is? 30 volts 12.5 volts 2.5 volts 15 volts 45 volts R1=6 R4=1 R2 =6 S R3 = 6 S E= 90 volts R5=10 R6=10 R7 = 4 S The voltage drop across resistor #4 is? 30 volts 12.5volts 2.5 volts 15 volts 45volts
Two couples act on the frame. (Figure 1)Part A Two couples act on the frame. (Figure 1) Figure If d=6.2ft, determine the resultant couple moment either by summing the moments of the two couples or resolving each force into x and y components and then summing the moments about B of all the forceā¦
2.1 Write down the state equation representing the small perturbation longitudinal motion of the aircraft CHARLIE- 3 . 2.1 motion of the aircraft CHARLIE-3 2.2 elevator deflection,Oin radians for the aircraft CHA
Determine the following: (a) Time to reach a height of y = 176 feet. (t) = 0, t = 0 seconds.
(Need help for Review sheet) Some practice problems: For each problem below, clearly identify the type of equation: Linear Equation, Separable Equation, Bernoulli Equation, Nonlinear Homogeneous Equation, or Exact Equation. Find the general solution (give an explicit solution unless instructedā¦
Problem - Consider the crankshaft shown in Figure 1 . The system is positioned on a vertical plane (g=9.81(m)s^(-2)) and is formed by two massless rods of length L and 2L, respectively. Three pivots, about which the two rods can rotate, are placed at points O,I and 2 in figure. The two rodsā¦
What relationship did you find? What quantities did you plot on the vertical and horizontal axes? Write the relationship as an equation. What are the units for the slope? State the meaning of the slope of the line. Did the spool of wire obey Ohm's Law? What is the resistance of the wire? Pleaseā¦
Using the continuity equation, show that the Schrƶdinger equation with a vector potential Hamiltonian, of the form i(delpsi )/(delt)=((((widehat(P))-e(widehat(A)))^(2))/(2m)+(widehat(V)))psi produces the following current, in the Coulomb gauge: J=(e)/(2m)(psi ^(**)ppsi -psi ppsiā¦
In Nashville, on a summer day, assume that you want the inside temperature at 25Cdeg , and the outside temperature is 38Cdeg . In Chicago, use an outside temperature is 30Cdeg . Using a Carnot air conditioner as a limit, tell in which location will you get the most bang for your buck (heatā¦
In the quantum mechanics class, we were told that the total angular momentum basis (LHS) is equal to the basis in the product basis (RHS) as below. However, I don't have any clue how to reach the result. The professor gave a clue that it is about Clebsch-Gordan coefficient and using theā¦
Consider the limit a->0 of the potential well, with the restriction of V_(0)a as a constant. a) How many linked states are there? b) What are the energies of these linked states? Consider the limit a->o of the potential well, with the restriction of Voa as a constant a) How many linked statesā¦
HW 4-2 In the case for diatomic chain, if we set M_(1)=M_(2) in (15), discuss the solution for the vibrations and compare the results with that of a monoatomic chain. omega ^(2)=(2C(M_(1)+M_(2))+-[4C^(2)(M_(1)+M_(2))^(2)-16M_(1)M_(2)C^(2)sin^(2)(K(a)/(2))](1)/(2))/(2M_(1)M_(2)) HW 4-2 In theā¦
{:[P_(4)=10 kPa S_(45)=s_(3)]}x_(45)=(S_(45)-S_(f))/(S_(fg))=(6.8-0.6492)/(7.4996)=0.8201 h_(45)=h_(8)+x_(45)h_(fy)=191.81+(0.82)(2392.1)=2153.6 (kJ/kg) eta _(T)=(h_(3)-h_(4))/(h_(3)-h_(45))=>h_(4)=h_(3)-eta _(T)(h_(3)-h_(45)) =3411.4-(0.87)(3411.4-2153.6) =2397.1ā¦
Find the Stark splitting between n=3 states with magnetic number m=+1 in a constant electric field (pointing along the z-axis) using first-order degenerate perturbation theory. You should write the radial integral ā«āį“µāæį¶ į¶¦āæā±įµŹø drFįµ¤(r) in terms of the hydrogen radial wave functions, but you do notā¦
electric field of a electromagnetic wave is given by tilde(E)=(2+i)[hat(x)+4hat(y)+3ha(z)]e^(i(3.6y-4.8z-omega t)) Draw the approximate propagation vector in a coordinate system, and calculate the wavenumber (=|vec(k)|) and angular frequency omega . Is the wave transverse? Is it a planeā¦
An infinite plate is uniformly charged with charge density Ļ. Normal vector to the plate is i. Its velocity is v(t)=Īø(t)vāk. a. Find magnetic and electrical field as a function of time. b. What is the force (per unit of area) to be applied to the plate to maintain constant velocity? c. What isā¦
the electric field at radial points r where r=0.0cm. Tries 0/4 Find the electric field at radial points r where r=9.5cm. Submit Answer Tries 0/4 Find the electric field at radial points r where r=21.0cm. Submit Answer Tries 0/4 Submit Answer Tries 0/4 (8c23p69) A thin, metallic, spherical shellā¦
I only need help with 3, 4, 5 Physics 342 Homework 8 Two equal mass objects have a collision in an inertial frame. In this frame, object A has an initial velocity of v_(0)hat(x) and a final velocity of -v_(0)hat(y). Object B (same inertial frame) has an initial velocity of -v_(0)hat(x) and aā¦
A 2kg block originally at rest is being pushed by a force F at an angle of Īø = 30Ā° below horizontal. The mass of the block is 2kg. The coefficients of static and kinetic friction between the block and the floor are respectively Ī¼s = 0.30 and Ī¼k = 0.28. 5.88 Newtons cosĪø - 0.8 = (Vs) / (Vs) Vkā¦
Question 1 In the figure provided, a 139g ball on a 79.6cm rope is swung in a vertical circle about a point 174cm above the ground. If the tension in the rope when the ball is at the very bottom of the circle is 5.60N and a pair of scissors cuts the string directly below the point of support,ā¦
Problem 2 The time evolution of a spin- j particleProblem 2 The time evolution of a spin- j particle is governed by the Hamiltonian hat(H)=-mu B*hat(J)=-mu |B|hat(n)*hat(J). (a) Write down the Heisenberg equation of motion for hat(J). (b) Show that the spin precession frequency does not dependā¦
(}(ii) The wavefunction for a ring rotor has the form Psi (phi )=cos(m_(l)phi )+isin(m_(l)phi ). Find the values of phi at which nodes occur for both the real and imaginary parts of the wavefunction, for m_(1)=3. both the real and imaginary parts of the wavefunction, for mi=3. ($) = cos(m) + iā¦
Implement, either in simulation or on a mobile robot, a sensor-based attractive/repulsive potential function. Figure 4.21 (Left) The initial configuration of a two-link manipulator in a polygonal workspace. (Right) The configuration space of the two-link manipulator with a start and goalā¦
HW I An infinite plate is uniformly charged with charge density sigma. Normal vector to the plate is hat(i). The plate oscillates with velocity is v(t)= heta(t)v_0cos(omega t)k. a. Find magnetic and electrical field as a function of time (the fields satisfy the radiation condition at bothā¦
For a soft tissue boundary to be identifiable with ultrasound, which of the following statements are true? a. It must be stationary True b. At least 5% of the energy must be reflected back to the transducer True c. The acoustic impedance must be constant on either side of the boundary True d.ā¦
The motion of an electron of mass, m, and charge, -e, moving in a magnetic field, B=grad imes A(r), is described by the Lagrangian, L=(1)/(2)mr^(Ė)*r^(Ė)-er^(Ė)*A(r). Show that Lagrange's equation of motion leads to the Lorentz force law for the electron. The motion of an electron of mass, m,ā¦
Let's examine a diatomic molecule composed of two atoms bound in a three-dimensional configuration. However, there is no interaction between molecules, allowing us to treat them as an ideal gas. The molecule has the capability to rigidly rotate about two axes perpendicular to its axis ofā¦
Consider the quantum teleportation experiment shown on the previous page, where a and b are complex coefficients such that |a|^(2)+|b|^(2)=1, as usual. The component "BSM" performs a Bell-state measurement. Ideally, a Bell-state measure- ment returns an eigenvalue associated with measuring inā¦
S11. Suppose that the mass in a spring-mass-dashpot system with m = 1, c = 2, and k = 8 is set in motion (at t = 0) with x(0) = 0 and x'(0) = ā7. When x(t) > 0 the spring is stretched, and the spring is compressed when x(t) < 0. a) Find the position of the mass for all t > 0. b) Even though theā¦
Problem 29 given for context. *PLEASE ANSWER PROBLEM 30:* Assume that the quantum dot described in the previous problem contains only one electron occupying the lowest energy level. Since the zero-point energy for a particle in a box depends on the size of the box, it takes some amount ofā¦
You decide to build a small generator by rotating a coiled wire inside a static magnetic field of 0.38T. You construct the apparatus by coiling wire into 4 loops of radius 0.17m. If the coils rotate at 2.8 revolutions per second and are connected to a device with 120Omega resistance, calculateā¦
DATA TABLE 1 1. Using data table 1, graph acceleration (A) vs Net force (F). Make sure to lable axes properly. 2. Write the equation of the line in slope intercept form. 3. Given only the above equation from #2, what would you interpret the slope to be? DATA TABLE 1 Mass Applied Netā¦
Area V/c Canaritanco Q3. From the slope of the graph, and the theory discussed above, calculate the value of epsi lon_(0). Q4. Consider the known value of epsi lon_(0)=8.85 imes 10^(-12)(C^(2))/(N)m^(2). Compare this with the value you calculated by calculating the percentage error. Percentageā¦
We now want to quantify the error that we would make in estimating the annual mean power of the wind turbine by using the Weibull distribution with the parameters directly computed with the power density method at 140m. Compute the annual mean power of the wind turbine using the probabilityā¦
The Lagrangian for a relativistic point particle moving in one dimension is L=-mc^(2)sqrt(1-(x^(Ė)^(2))/(c^(2)))-V(x) where c is the speed of light. (a) Derive the equation of motion (b) Show that it reduces to Newton's second law in the limit x^(Ė)āŖc. 3. The Lagrangian for a relativistic pointā¦
a) Alpha decay is a two-body final state process, in which a nucleus ^(A)x_(Z) longrightarrow ^((A-4))Y_((Z-2)) + ^(4)He_(2) + Q_(alpha). If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au and (A-4)u, and that of the alpha particle is 4u, determine the relationā¦
For the beam shown in the below fiaure. the shear force at A is equal to A. w(l)/(6) B. w(l)/(3) C. wl D. 2w(l)/(3) W A A. wl/6 B. wI/3 C. wl D. 2wl/3
Consider a wire carrying a current. a. The current in a wire is 6.0 A. How many Coulombs of charge pass a cross-section of the wire in 3 seconds? b. If the current varies with time according to the equation I(t) = 6.00 A + (4.8 A/s) t, where t is in seconds, how many coulombs of charge pass aā¦
Use Kirchhoff's loop and junction laws to set up a system of equations for the circuit shown above. Solve the system of equations for the current flowing through the left, middle, and right branches, I1, I2, and I3. If R1 = 6.6Ī©, R2 = 2.9Ī©, R3 = 3.0Ī©, Īµ1 = 5.2V, and Īµ2 = 26.4V, calculate theā¦
Q3 The rotation-vibration interaction accounts for the unequal spacing of the lines in the P and R Branches of a rotation-vibration spectrum. Because the vibrational amplitude increases with the vibrational state, we expect that the equilibrium length of the diatomic molecule should increaseā¦
A ground penetration radar sends a plane wave with electric field E_{r,t}=15e^{-az}cos(22.5 imes 10t+z) through dry soil, with mu_{r}=1, epsilon_{r}=3.5, and sigma=0.01 S/m. The wave penetrates the ground (z=0) and hits a metallic plate at 10 meters below ground. (a) Is the dry soil a goodā¦
Use the wavefunction of a particle on the ring to calculate Ī“Ļ = ā((Ļ^(2)) - (Ļ)^(2)) Hint: (o) = ā«(Ļ) Ļ^(*)hat(O)Ļ*dĻ The wavefunction has to be normalized. Could you please write the calculations on paper 1. Use the wavefunction of a particle on the ring to calculate Ī“Ļ = ā(g) - (2) Hint: o =ā¦
Apply your knowledge of torques to make a mobile. Shown below are five horizontal arms with fixed weights attached (the numbers are the weights in "newton" units), and four connectors with ends that hook in the rings of the arms, lettered A through R and all equally spaced. You are to determineā¦
Consider the problem: c, Ļ, KāĪ±xĪ± < 0 cĻuā = (Kāuā)ā + Ī±u, 0 where c, Ļ, Kā, and Ī± are functions of x. Assume that the appropriate eigenfunctions are known. (a) Show that the eigenvalues are positive if Ī± < 0. (b) Solve the problem. Consider the problem: couā = Kou + au, 0 < x < L 0, = 0, Lt =ā¦
The saturation pressure of water vapor (P_(k_(s))) increases with temperature. The most commonly used equation for calculating the saturation pressure of water vapor as a function of temperature is the Antoine equation: P_(Vgs )=10^(K) K=A-((B)/(T+C)) where P_(kss ) is the saturation pressureā¦
Homework 3 - MSEG 825 Due on 02/27/2024 Consider a 2-atom system for which the initial energies of the isolated atoms are unequal (non-degenerate), i.e. ((p^(2))/(2m)+V_(1))|s_(1): where epsilon_(2)>epsilon_(1),|s_(1): and |s_(2): are the s orbitals of atoms 1 and 2, respectively, andā¦
Problem 2 The NYU is an advanced economy which only produces two goods: agriculture (for convenience, call it y ) and manufacturing ( x, also for convenience). Suppose its production possibilities frontier (PPF) is given by x^(2)+y^(2)=50. We also know that the linear function tangent to theā¦
A block of mass m is on a rough horizontal surface and is attached to a spring with spring constant k. The coefficient of kinetic friction between the surface and the block is Ī¼. When the block is at position x=0, the spring is at its unstretched length. The block is pulled to position x=+xā,ā¦
Derive the Wien displacement law, lambda _(max)T=0.2014(hc)/(k), by solving for the maximum of the quantum black body energy density distribution. Hint. After simplifying you get an equation that can only be solved numerically. At that point you can substitute in from the Wien displacement lawā¦
i) Evaluate the average energy and specific heat of a three-state system with energies and particle numbers, respectively, epsi -2a,epsi ,epsi +2a, and 2,0,2. ii) Evaluate the free energy and the entropy of a system of one particle with two states of energies 0 and epsi . Hint: For the entropyā¦
A rocket leaves Earth at a speed of 0.80c on its way to a planet a distance of 20 ly as measured by Earth. When the rocket gets to the planet, it sends a light signal to Earth. When does the signal get to Earth according to (i) Earth and (ii) rocket? Illustrate your answers with a spacetimeā¦
Write the matrix elements between the n=3 states of the hydrogen atom with magnetic number m=+1 as (phi _(3,1,+1),zphi _(3,1,+1))=C_(11)int_0^{infty} drF_(11)(r). Compute the angular part of the matrix element C_(11)=int d^{2}Omega Y_(1,+1)^{**}hat{z}Y_(1,+1) whenever it is non-vanishing. Hereā¦
Two resistors and a battery are arranged in two different ways, as shown. Each time, the current supplied by the battery is measured by an ideal ammeter. Use information from the figures below to determine the values of R_(1) and R_(2). 4.Two resistors and a battery are arranged in twoā¦
Free-Response Questions 6. Four point charges, each with a magnitude |q| = 6.0 nC, are fixed at different locations along the perimeter of a square of side length d = 4.0 cm. The origin of the xy-plane is fixed at the top right corner of the square. a. Draw and label a diagram that includes allā¦
In the figure a nonconducting spherical shell of inner radius a=2.15cm and outer radius b=2.51cm has (within its thickness) a positive volume charge density ho =(A)/(r), where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q=47.2fC isā¦
Given the cone, how much bigger would the volume of a cylinder need to be for it to be of equal height and equal diameter? 8ft 8ft Given the cone to the right,how much bigger would the volume of a cylinder need to be for it to be of equal height and equal diameter?
A long cylindrical solid conductor of cross-sectional radius R has linear charge density Ī». a) Sketch the cylindrical conductor and a cylindrical Gaussian surface of height h and radius r where r > R. b) Use Gauss's Law to derive an expression for the electric field strength in terms of r and Ī»ā¦
Block 1 is sitting on the floor of an elevator. A rope pulls vertically up on block 1 with a tension of 3 N. The elevator is moving downward and is speeding up with an acceleration with a magnitude of 3 (m/s^2). Draw the free body diagram for block 1 using the two-subscript notation fromā¦
Write the form of the partial fraction decomposition of each rational expression. Do not solve for the constants. (a) (26)/(x^2-9x) (b) (5x^2+7)/((x-6)^3) (c) (3x-8)/(x^3+13x) (d) (9x-2)/(x(x^2+8)^2)
SELF-TEST III (a) What is the maximum probability density of an n=3 electron in retinal (see Fig. 4-5 for diagram; the oxygen atom adds one Ļ electron to the Ļ-system, just as a carbon atom)? Do not include the bond-angle correction. (b) At what positions in the molecule does this maximumā¦
Consider a simple model of the hydrogen molecule: Two positive point charges, each with charge +e, are placed inside a sphere of radius R, which has a uniform volume charge density and a total charge of -2e. The two point charges are placed symmetrically (see Figure). a) Use Gauss' Law toā¦
Problem 2: [CLO-1] A Star has a temperature of 15,000K and a luminosity 5,000 times that of the Sun. Calculate the radius of this star compared to the radius of the Sun. Be quantitative. Given: Sun's temperature: 5,800K Problem 2: [CLO-1] A Star has a temperature of 15,000 K and a luminosityā¦
Legendre 21 Consider a uniformly charged straight rod of length L and total charge Q with one end at the origin. Determine the electric potential at the point P with polar coordinates r and heta (see figure). Give your results (a) for r>L, as well as (b) for heta =0r. Then check the validityā¦
An object with a mass of 1mg is attached to a spring with a spring constant of 10^(-3)N*m^(-1). In classical physics, calculate the energy and period of the "zero-point" vibration of the harmonic oscillator. (8 points) Calculate the energy of this harmonic oscillator in quantum mechanics andā¦
A particle has a potential energy given as a function of position x by U(x)=9x^(2)-4x. What is the force acting on the particle at x=a ? (A) -18a+4 (B) -18a-4 18a-4 (D) sadeg (-)/(_(a)^(-)) (E) ,-3a^(3)+2a^(2) Aparticle has a potential energy given as a function of position by U()= 92-4.Whatā¦
Consider a 3D space whose line element is given by: ds^(2)=(dr^(2))/(1-2(mu )/(r))+r^(2)(d heta ^(2)+sin^(2) heta dphi ^(2)) and determine the following quantities: a. the radial distance between the sphere of radius r=2mu and the sphere of radius r=3mu b. the 3 -volume contained between theā¦
Consider an electromagnetic wave with frequency = 1 GHz that propagates in the z-direction of a right-handed coordinate system (i.e., the coordinate system considered in the lecture). E_x = E_(0x)cos(Ļt - kz - Ļ_(x)) E_y = E_(0y)cos(Ļt - kz - Ļ_(y)) The total electric field vector is givenā¦
A system consists of N distinguishable particles and n phase space cells. The energy of the particles is non-degenerate whereA system consists of N distinguishable particles and n phase space cells. The energy of the particles is non-degenerate where epsi lon_(1)=epsi lon_(2)=epsiā¦
Explain the following proof: Confirm that the ground-state harmonic oscillator wavefunction is a solution of the Schrƶdinger equation: (d)/(dx)N_(0)e^(-(x^(2))/(2)alpha ^(2))=-N_(0)(x)/(alpha ^(2))e^(-(x^(2))/(2)alpha ^(2)) (d^(2))/(dx^(2))N_(0)e^(-(x^(2))/(2)alphaā¦
a) Show that the electric dipole moment of any nucleus must be zero. b) Obtain the Schmidt line value of the magnetic moment (in units of the nuclear magneton) corresponding to a nucleus of odd A whose odd nucleon is a neutron whose total angular momentum quantum number is j. A nucleus is inā¦
dsin(Īø) = nĪ»; n = 1, 2, 3 Use the small-angle approximation and rewrite the above equation in the form of a straight line with n on the y-axis and Īø on the x-axis. Describe in your lab report what this slope means. How do I convert this into a line and what does the slope mean? This is for aā¦
PLEASE ANSWER PROBLEM 38. Problem 36 provided for context. 36. For the one-dimensional harmonic oscillator with a force constant k and frequency o in the ground state, determine: (@)(x) (b)(x2) (c)(p) (d) (p2) 38.Using the results from the problem 36, find the average values of potential andā¦
Find the ratio of the fluxion of x to the fluxion of (1)/(x) using Newton's "synthetic" method of fluxions. This requires us to find the ratio ((x+0)-x)/((x+0)^(-1)-x^(-1)). The difficult part of this calculation is expanding (x+0)^(-1) using a power series. Find the ratio of the fluxion of xā¦
Value: This assignment is worth 5% of the total course grade. PART ONE: (80%) The Case: Drivers can share phone numbers. Drivers can only drive a truck once per day. A truck, washer, and booth can only ever be related once. Convert the above model to a set of normalized relations. Value:ā¦
Find v_(O) for the circuit given in the figure, assuming that v_(s)=(6cos(2t)+4sin(4t))V. Take C=350mF. The value of (x) + ") V. c 20 The value of vo= ( 4.65 cos(2t+ 39.62 ) + 3.70 O sin(4t+ 90 ) V.
Thevenin Model for Non-Ideal Sources Linear Battery Modeling Do you expect R_(TH) for the Alkaline battery to be high or low? able[[V_(TH)(V),R_(L)(Omega ),I_(L)(mA),R_(TH )(Omega ) VTH (V) RL (Ī©) 1000 2200 10.000 IL (mA) RTH (Ī©) Average Value: Alkaline Battery Thevenin Model: VTH= V RTHā¦
(c) Consider a "loose" fidelity metric -F_(HS)( ho _(1), ho _(2)) given by F_(HS)( ho _(1), ho _(2))=(Tr( ho _(1) ho _(2)))/(sqrt(Tr( ho _(1)^(2))Tr( ho _(2)^(2)))) This fidelity metric is easier to measure and compute in general, since it only has products of density matrices. However, twoā¦
g. Suppose you are driving in a convertible with the top down. You are driving due east. As shown in figure, you point a rifle straight upward, fire it and accelerate your car. In the absence of air resistance, where will the bullet land? i. behind you, ii. ahead of you, iii. in the barrel ofā¦
Is this correct? Prompt: From the slope of your graphs, the value for the gravitational acceleration could be determined, do so and calculate the corresponding percentage errors. You might need help for this part, just come to me or ask how to do it at the beginning of the lab. Slope = 0.04398ā¦
38-40) Find the value of Vout? +5 V stvuDigitatDevees 10 kĪ© o-WW 1k +5v-WWW 10kĪ© Vout 10 kĪ© ZD2 Di
Problem 4 (15 pt) A very long string of mass density mu and tension T is attached to a small hoop with negligible mass (see Fig. 3 left). The hoop slides on a greased vertical rod and experiences a vertical force F_(y)=-bdel(y)/(d)elt when it moves. (a) Apply Newton's law to the hoop to findā¦
Evaluate the probability of finding an electron in the center of the box, approximated as 0.495a to 0.505a for the 1^(st ) and 3^(rd ) levels of a particle-in-a-box, where a is the width of the box. Evaluate the probability of finding an electron in the center of the box, approximated as 0.495aā¦
Write down the transmission for an infinite collection of concentric rings of width R_(0) and a separation between the rings of B. The center is transparent. The rings alternate between opaque and transparent. Find the Fourier transform and sketch what might be seen. Apply fourier optics andā¦
The motion of a body of mass m, gravitationally attracted to Earth in the presence of a resisting drag force proportional to the square of its velocity v, is given by: mv(dv)/(dr) = -(GMm)/(r^(2)) + Īŗv^(2), v(R+h) = 0, where r is the distance to the center of the Earth, Īŗ > 0 is aā¦
11-9. The bar is pin-supported at points A, B, C, and D. If the normal force in the bar can be neglected, determine the vertical reaction at each pin. EI is constant. Prob. 11-9 11-9. The bar is pin-supported at points A, B, C, and D. If the normal force in the bar can be neglected, determineā¦
Assuming all of these objects weigh the same and their CoG's are at the same height, which would be the most stable (most able to resist a perturbation of size P)? A B C Assuming all of these objects weigh the same and their CoG's are at the same height, which would be the most stable (mostā¦
Consider the difference equation x_(t+1)=rx_(t)(1-x_(t)). a) Show that the equilibria are x=0 and x=(r-1)/(r). b) Use the theorem from class to determine the values of r for which x=0 is a stable equilibrium. c) Use the theorem from class to determine the values of r for which x=(r-1)/(r) is aā¦
If we replace the CD ( 700MB with a DVD ( 4.7GB, what happens to the width of the diffraction pattern? Without taking any new measurements, what can you tell about the number of lines /mm of DVDs as compared to CDs? How would you expect the pattern to change if you used a Blu-Ray disc (25 GB)ā¦
A scientist is watching a bug walk back and forth along a line. Suppose the line has a coordinate x, and let p(t) be the continuous function giving the bug's position on the line at time t (in sexonds). The scientist oberves the bug's motions and records what she sces: At t=0, the bug wasā¦
(i) Calculate the expectation value of the potential energy ((1)/(2)kx^(2)) of the v=0 wavefunction, as given by: Psi _(0)(x)= {(:((alpha )/(pi ))^((1)/(4))e^(-((1)/(2))x^(2)))(alpha =sqrt((kmu )/(ā)))}
162 University of South Alabama Physics PH 114/PH 115 Laboratory Manual Delta V=((B^(2))/(2)(e)/(m))R_(beam )^(2) Recall that the equation of a straight line can be written as y=mx+b where b is the y-intercept and m is the slope. Then, by inspection, if Delta V->y and R_(beam )^(2)->x, then weā¦
Mmmm donuts....Consider a gigantic homogeneous intergalactic plain donut wedged in the following position under the influence of Earth's gravity. Determine the contact forces between the donut and the frictionless surfaces. The outer diameter of the super donut is 24.0km while the innerā¦
10.23 At a particular time, the wavefunction of a mass m moving in a three-dimensional potential well is phi =A(x+y+z)e^(-k_(0)r) (a) Calculate the normalization constant A. (b) What is the probability that measurement of L^(2) and L_(z) finds 2ā^(2) and 0 , respectively? (See Table 9.1.) (c)ā¦
Find all formulas for the entries of M^n , where n is a positive integer. M=[-1,4,-8,11] - What are the coordinates of A,B,C,D? : What are the lengths of the three ropes? What are the angles subtended (angle of projection), of the three ropes and the x-y plane? 6 ft 1f Previous Ne
Question 10 Consider that now you have done the lab. Consider what would you need to do to change the system to a fully automated system that required no human intervention? Briefly state in the box below if you would change the lighting and how? (Limit your answer to 800 characters only.ā¦
Is there a minimum temperature possible? A maximum? Explain. The kinetic energy of a compact car moving at 90 miles per hour is 4.5 imes 10^(5)J. What mass of water in kilograms would this much energy heat from room temperature (20 degrees Celsius) to boiling point (100 degrees Celsius)? Inā¦
2.1 Write down the state equation representing the small perturbation longitudinal motion of the aircraft CHARLIE-3. 2.1 motion of the aircraft CHARLIE-3.
The 4 forces above add to zero net torque of the pulley around its central axis. If the magnitudes of the forces are F_(1)=6N,F_(2)=5N,F_(3)=9N and F_(4)=9N, and R is 0.5m, what is r in meters? All angles shown are right angles. F R F TM 4 The 4 forces above add to zero net torgue of the pulleyā¦
This is the decay scheme for a 2- parent nucleus. It is able to energetically beta decay into 4 different levels of a daughter nucleus. a. based on allowed and forbiden accounting, which of the decay paths are more probable, why? b. Rank the four transitions in likelihood. 2 2 4+ 2 0+ E
Consider the two situations shown below. The top two figures show a finite line of charge, of length L and charge density +lambda. The lower two show an infinite line of charge, also of charge density +lambda. Around each, we place the same Gaussian surface, a cylinder with height L and radiusā¦
Exercise 3.1 Derive the temperature of the system, and show that U = (2NĪµlon) / (e^(Ī²Īµlon) + 2), where Ī² = (1) / (k_B)T, as defined in Eq. (2.8, p. 47).
Find which matrix elements of the coordinate operator z between the n=3 states of the hydrogen atom can be nonzero and which are zero. Explain your answer using selection rules. Find which matrix elements of the coordinate operator z between the n = 3 states of the hydrogen atom can be nonzeroā¦
The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.23kg and is moving along the x axis with a velocity of 6.40(m)/(s). It makes a collision with puck B, which has a mass of 0.46kg and is inltially at rest. After the collision, the two pucks fly apartā¦
An LC circuit includes a 0.025-Ī¼F capacitor and a 340-Ī¼H inductor. Part A If the peak voltage on the capacitor is 190V, what is the peak current in the inductor? Express your answer in amperes. I_p = A Request Answer Incorrect; Try Again; 5 attempts remaining Part B How long after the voltageā¦
Derive a formula for the coefficient of performance of a refrigerator using an ideal gas as a working substance operating in the cycle shown below in terms of the pressure and volume in the states labeled 1, 2 and 3. Derive a formula for the coefficient of performance of a refrigerator using anā¦
Find the direction angles of the vector. Write the vector in terms of its magnitude and direction cosines, v=||v||[(cosalpha )i+(coseta )j+(cosgamma )k]. v=4i+5k {[:v=ā»^(-)(cosāØ')i+(cosā»^('))j+(cosdeg )k]} (Type integers or decimals rounded to the nearest tenth as needed.) Find the directionā¦
The Plummer model is a simple (but not very accurate) description of the mass distribution of a spherical star cluster or galaxy. It has two parameters: total mass M_(0) and "scale radius" a. As a function of the distance r from the center of the galaxy, the mass density is: Ļ(r) =ā¦
The decay width of particle a to three particles (i.e. a->1+2+3 ) is dGamma (a->1+2+3)=(|M_(a->1+2+3)|^(2))/(2m_(a)(2pi )^(5))delta ^(4)(p_(a)-p_(1)-p_(2)-p_(3))(d^(3)vec(p_(1)))/(2E_(1))(d^(3)vec(p_(2)))/(2E_(2))(d^(3)vec(p_(3)))/(2E_(3)), where |M_(a->1+2+3)| is the matrix element,ā¦
As an example of this, suppose you are on a planet that is 10 times more massive than the Earth and 2 times the radius of the Earth. The mass factor indicates that the gravity on the planet would be 10 times that of the Earth, but the radius term indicates the planet should haveā¦
Find the moment of inertia of a solid cylinder with mass m and radius r rotating around its axis of symmetry. (Hint: dm = Ļ dV = 2Ļrdr) 2) Find the moment of inertia of a solid cylinder with mass m and radius r rotating around its axis of symmetry. (Hint: dm = Ļ dV = 2Ļrdr)
You have completed the layout of the illustrated reflecting pool and its base. Both are regular polygons. The distances shown are from the midpoint of a side of the pool and the base to their shared center. You have been asked to provide the contractor with the area between the pool and theā¦
Problem 12: A constant force F acts on a mass m that is initially at rest. Graph the power supplied by that force as a function of time. You will certainly need to calculate something so that you know what to graph. On the same graph, plot the power if the force had been twice as large.
Calculate the work (kJ) done during a reaction in which the internal volume expands from 28.4L to 10.4L against an outside pressure of 2.09atm(1L-atm)=(101.3J) Calculate the work (kJ) done during a reaction in which the internal volume expands from 28.4 L to10.4 L against an outside pressure ofā¦
Question 1 - Angular Dependence and Spherical Harmonics a. First, we will visualize the angular dependence of these orbitals, i.e., their "shapes". Plot the probability density of the angular part of the atomic wavefunctions when l=0 through l=2,Y_(l)^(m). Remember that m_(l) can equal anā¦
Problem 1 For the following figure, determine the moment of the forces shown about points: i) S ii) R Write your answer with units. No need to convert units here. Problem 2 The truss in the figure below is acted on by forces as shown. Determine the resultant (force) and its location withā¦
A nurse is caring for a client who is at high risk of breast cancer and has been prescribed a magnetic resonance imaging (MRI) scan. The client asks why a mammogram was not prescribed. Which of the following statements should the nurse make? "The MRI is a more sensitive diagnostic testingā¦
Relative humidity ( RH or (O)/() ) of a moist air is the ratio of vapor pressure (P_(k)) to the saturation pressure (P_(vas )) at the same temperature. Determine the water vapor pressure when (a) T=40 ģ¼, RH=70% (b) T=74%F,RH=50% You might need the information in the previous question toā¦
Rotated triangular plate The plate in Exercise 39 is revolved 180deg about line AB so that part of the plate sticks out of the lake, as shown here. What force does the water exert on one face of the plate now? 39. Triangular plate The isosceles triangular plate shown here is submergedā¦
Consider the Hamiltonian H=([E,0,a],[0,E,b],[a^(**),b^(**),E^(')]),|a|,|b|āŖ|E-E^(')| Compute the energy eigenstates using second order degenerate perturbation theory. Consider the Hamiltonian /E 0 H= 0 E b* a b |a|,|b|<|E-E| Compute the energy eigenstates using second order degenerateā¦
(i) (dx_(1))/(dt)=5-(7x_(1))/(100)+(2x_(2))/(100) (dx_(2))/(dt)= (dx_(3))/(dt)= Use the information given in the figure below to construct a mathematical model for the number of pounds of salt t,t),and t at tme t in tanks A,B,and C,respectively pure water 5 gal/min mixture 2gal/min mixture 1ā¦
Show that the probability density (Psi^*(Psi) is time-independent for the state Psi_k(q, t) = psi_k(q)Phi_k(t) that corresponds to the energy E_k. First determine the functions Phi(t) from solving the time-dependent Schrƶdinger equation, then calculate the probability density.
What is the amplitude of the electric field of the laser's light? What is the amplitude T_(0) of the magnetic field of the laser's light? What is the average energy density of the laser's light? r_(0)= Hostrot: An instructor's laser pointer produces a beam of light with a circular cross-sectionā¦
Consider a 6f electron. a) Calculate the polar angle of the angular momentum vector of a single 6f electron of which m=-2. [2 pnts] b) Sketch the radial part of the 6f wave function (rR6f). [2 pnts] c) Consider all radial wave functions of hydrogen that have a similar shape as the 6f radialā¦
(a) Use the following table to compute the intensity of reflected sound for normal incidence between each of the following interfaces: (1) Fat and muscle, (2) bone and soft tissue, (3) air and soft tissue. (b) Use your results to explain why this presents difficulties for ultrasound imaging ofā¦
A plastic milk carton partly filled with water floats in the ocean with 35% of its volume below the surface. The density of the ocean water is 1025k(g)/(m^(3)). What is the average density of the container (including the water inside it)? 003 A plastic milk carton partly filled with waterā¦
Choose the best answer from the given options. (10**1)=(10) a. Suppose you are driving due east, traveling 1500m in 2 minutes. You then turn due west and travel the same distance at the same time. Which of the following statements are. [Select all that apply] i. The average speeds are the same,ā¦
Analyzing the free body diagram around the three masses with Newton's second law (Sigma F=ma) resulted in the following three equations, which form a tridiagonal and symmetricalā¦
What did you measure for the Young's modulus of the elastic? Don't forget that you measured force in Newtons (N) and length in centimetres (cm) and look at your Young's modulus equation to see what other values are needed for this calculation! Express your answer in units of MPa (megaPascals)ā¦
Part 1 The voltage across a 38 millifarad capacitor is zero for time t up to and including zero and v(t) = 4t exp{-t^2/13} volts for t>0 (time in seconds). At what tike is the energy stored in the capacitor a maximum? Part 2 What is that maximum energy? Part#1-Score:0/10 Time ofā¦
Resistance is 17.0 Ī©. (a) Draw a circuit diagram of the toy and its batteries. (Submit a file with a maximum size of 1 MB.) No file chosen (b) What current (in A) flows? A (c) How much power (in W) is supplied to the load? W (d) What is the internal resistance (in Ī©) of the dry cell if it goesā¦
Print or sketch the three motion graphs. The graphs you have recorded are fairly complex and it is important to identify different regions of each graph. Click Examine, and move the mouse across any graph to answer the following questions. Record your answers directly on the printed or sketchedā¦
Ask a questionTo prove that the expression for the total energy density u, obtained by integrating over all frequency ranges in blackbody radiation, is equivalent in form to the Stefan-Boltzmann law: W=sigma T^(4) where sigma is the Stefan-Boltzmann constant, and W represents theā¦
(a) Calculate the position of the radial node of the 2s orbital. The wave function of the 2s orbital is given as psi _(200)=(1)/(4sqrt(2pi ))((1)/(a_(0)))^((3)/(2))(2-(r)/(a_(0)))e^(-(r)/(a_(0))) (b) Calculate the most probable position of the electron in this orbital. Hint:ā¦
Kindly solve this question relating to ADVANCED WELL LOGGING Q3. Drilling of a 16,200-ft borehole was finished at 1:30 a.m.The mud was then circulated until 4:00 a.m. Three logging tools were run to TD successively. The tool type, the time the tool moved off bottom, and the maximum recordedā¦
Could you please assist me? Please ensure that both the answer and the steps are clear. Thanks for your time. The subject is "Electronic Devices and Modern Physics: Solid State Electronic Devices." 1. Consider a diamond lattice structure with a = 6 Angstroms. If Si has a 28 g/mol atomicā¦
The thin plastic rod has length L and linear charge density lambda =c**x, where c is a constant. With V=0 at infinity, a. Find electric potential at point P_(1) on the x-axis, at a distance d from one end. b. Find electric potential at point P_(2) on the y-axis, at y=D. c. Find the electricā¦
Find the total resistance of the combination of resistors: 3. Find the total resistance of the combination of resistors: R=1.00 R = 6.00 Rz = 13.00
Vvs t Part A In lab 2 we looked at position vs time graphs and saw that slope was related to this thing called velocity. For the following data, make a plot and determine the velocity: able[[t(s),x(m) Vvst Part A In lab 2 we looked at position vs time graphs and saw that slope was related toā¦
Using du in Problem 10, and the text method of obtaining (11.27), show that ((delT)/(delv))_(s)=-((delp)/(dels))_(v). (This is one of the Maxwell relations in thermodynamics.) 10. Given du = T ds - p du, find a Legendre transformation giving (a) a function f(T,v); (b) a function h(s,p); (c) aā¦
8.23 AÅaÄıda verilen saf olmayan elemanların, yanlarında verilen kĆ¼mesel parametre modelleriyle eÅdeÄer olduÄunu gƶsterin. -= (a) /bar ()=() (b) 000000 k,J J/3 (0) 00000000 m,k m/3 (b)
The tones produced when pressing a key on a telephone are standardized as per the table below---two tones are played, one high-frequency tone and one low-frequency tone. The low-frequency component is determined by the key's row on the telephone, and the high-frequency component by the key'sā¦
For this project, can I get the details step by step. you can use Sagemath for differentiation, how to set up the simulation and how does kinetic and potential energy help finding the solution. how to find the graph etc. Instructions are given in the picture. Introduction: It is the year 16705ā¦
Problem 3 In Fig. 3, five point charges q are positioned at the vertices of an hexagon with side length l. Another point charge Q is placed at the center. Please do not make any assumptions about the nature of the charges (magnitude and polarity). It will be specified for each problem. Iā¦
This problem refers to Figure 3. There is a solid sphere of radius l located at the center of a hollow (infinitely thin) spherical shell of radius L. Suppose the inner solid sphere has a uniform charge density ho (this is charge per unit volume), and the outer spherical shell has uniformā¦
1) The (Other) frame Kā moves with respect to the (Home) frame K with eta = 2/5. An event E is observed in the Kā frame at the following coordinates: (tā, xā) = (2, 3). Draw, on a graph paper or a suitable coordinate grid, a two-observer space-time diagram, with appropriately scaled andā¦
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The cross section of a concrete dam is shown in the figure. Consider a 1-ft-wide section of the dam and take h=11ft. Given, the specific weight of the fresh water,ā¦
Question 4 (1 point) What is the power required to accelerate a 10kg mass from a velocity of 5(m)/(s) to a velocity of 15(m)/(s) in 3 seconds? 333W 225 W 167W 33W Question 4 (1 point) What is the power required to accelerate a 10 kg mass from a velocity of 5 m/s to a velocity of 15 m/s in 3ā¦
(Pr. 4) If a soft material has a dielectric response characterized by a single relaxation time Ļ, then the polarization P obeys the equation: dP/dt = -(1/Ļ)[P(t) - ĻsĪµ0E(t)], where Ļs is the static electric susceptibility. (a) Under an applied sinusoidal field given, in complex notation, byā¦
Find the solution y(t) of the given IVP: 6y'' + y' - 2y = 0, y(0) = 1, y'(0) = 4 y(t) = 2e^(2/3)t - 4e^(1/2)t y(t) = 3e^(2/3)t - e^(4/3)t y(t) = 4e^(1/2)t - 3e^(-2/3)t y(t) = 5e^(-1/2)t - 2e^(2/3)t Find the solution y(t) of the given IVP: 6y + y - 2y = 0, y0 = 1, 0 = 4 Oyt = 2ei - 4e Oyt = 3eiā¦
State space representation of the system: Ta(1) 82W^2 W K2 K B2 XXX B, K0-0 K0 (3 K0-0 Bzw^2 BW Lwn
Angular momentum in quantum mechanics is given by **L** = **L**_x**i** + **L**_y**j** + **L**_z**k** with components **L**_x = **y** **p**_z - **z** **p**_y, **L**_y = **z** **p**_x - **x** **p**_z, **L**_z = **x** **p**_y - **y** **p**_x. (a) Use the known commutation rules for **x**, **y**,ā¦
If the poles or zeros in the s-plane are presented as below, what would its time response look like? c(t) If the poles or zeros in the s-plane are presented as below, what would its time response look like? s-plane 1.2 0.8 0.6 0.4 0.2 0 1 2 3 4 S c(r) 150-1= 7 0 1 2 3 c(n c=1-3te-3r-e-3 80ā¦
Problem 1 - Suspended Masses Three masses hang off of the ceiling in the following configuration. The mass m1 is exactly half of the mass of m2. Pick the following variables (different from your friends/partners): Mass m1 between 0.25 kg and 0.75 kg An angle Īø1 between 15Ā° and 25Ā° Problem:ā¦
Consider the 2-sphere with the metric ds^2 = gabdx^adx^b = a^2((dr^2)/(1-r^2) + r^2dĪø^2) where a is a constant with length dimensions, 0 <= Īø < 2Ļ and 0 <= Īø < 2Ļ. a. Make a drawing of each of the coordinate curves b. Show that with this coordinate system it is not possible to cover the entireā¦
A -2.5mu C point charge and a -3.3mu C point charge are a distance L apart. Where should a test charge be placed so that the electric field is zero? 5.A-2.5uC point charge and a -3.3 uC point charge are a distance L apart.Where should a test charge be placed so that the electric field is zero?
With the 3-view drawing and vertical fin detailed in the de Havilland DHC-6 Twin Otter aircraft, estimate the vertical fin values left blank in the table for a cruise condition of 250 ft/s at 10,000 ft altitude. The other table provided may help with calculations. Select aircraft vertical finā¦
There are 2 boxes with the mass of box 1 = mā = 1 kg and box 2 = mā = 2 kg. Box 1 is being pushed with a force of 10 N. Both boxes move together. The surface between the boxes and between the ground and the box have a coefficient of static friction Ī¼s = 0.5 and a coefficient of kinetic frictionā¦
{:M(del^(2)(u_(s))/(d)elt^(2))=F=C(u_(s+1)+u_(s-1)-2u_(s))] HW 4-3 Continuum wave equation. Show that for long wavelengths the equation of mo- tion (2) reduces to the continuum elastic wave equation (del^(2)u)/(delt^(2))=v^(2)(del^(2)u)/(delx^(2)), where v is the velocity of sound. , (Hintā¦
Determine the x - and y-coordinates of the centroid of the shaded area. Assume c=5,a=1.10,b=2.05,x an y are in inches. y Answer: in. xy=i Answer: a Assume c = 5, a = 1.10, b = 2.05, x an y are in inches. Determine the x- and y-coordinates of the centroid of the shaded area. in.
Consider the system below. Find the equations of motion xā(t) and xā(t) for the given initial conditions if: kā=1 N/m kā=2 N/m mā=3kg mā=4kg Hints: You must show most of your work for full credit. You may use MATLAB to invert the A matrix. Of course, you may use calculators at any time. Watchā¦
For the following questions assume that the potential is given by: V(x<=-a)=infty V(-a<=x<=3a)=0 V(x>=3a)=infty (a) Write the boundary conditions for this problem. (b) Write Schrƶdinger equation for this problem. (c) Assume the general solution for this equation is psi (x)=Asin[k(x+a)]. Whatā¦
5-58. Use the rigid rotator-harmonic oscillator model and the data in Table 4.2 to plot /bar (C)_(P)(T) for CO(g) from 300K to 1000K. Compare your result with the expression given in Problem 5-43. for CO(g from 300 K to 1000 K.Compare your result with the expression given in Problem5-43
Draw a FBD for the following objects that shows the relative magnitude and direction of all the forces acting on that object. You only need to consider forces that are listed in the table on slide 17 in Video 7A: Free Body Diagrams. C. Antique light hanging trom tne roor 2. Draw a FBD for theā¦
Problem 5: Matrix representation of the ladder operators Consider the quantum harmonic oscillator with ladder operators whose action is given by, hat(a)_(-)psi _(0)=0,hat(a)_(-)psi _(n)=sqrt{n}psi _(n-1),(n=1,2,3,dots) hat(a)_(+)psi _(n)=sqrt{n+1}psi _(n+1),(n=0,1,2,dots) a. Find the matrixā¦
14.18 Which of the following fields are path independent; surface independent; both; or neither? Do path independence only (a) yhat(i)-xhat(j) (b) r (c) -hat(i)sinxcoshy+hat(j)cosxsinhy (d) xy^2hat(i)-x^2yhat(j) (e) Ļzhat(Ļ)
Problem 1: [CLO-5] In the center of the Milky Way galaxy, there is a supermassive black hole called Sagittarius A^(**)(SgrA^(**)). The radius of this black hole is about 12 million km. The Mass of this Black hole is 4 imes 10^(6)M_(sun ) (i.e. 4 million times the mass of the Sun) a- Calculateā¦
Q4 Derive the selection rules for vibrational and rotational transitions using the long wavelength approx- imation for the external electromagnetic wave. Q4 Derive the selection rules for vibrational and rotational transitions using the long wavelength approx imation for the externalā¦
NOTE: Before you come to the lab you should: (i) become familiar with the analysis of the "Circuit 1" from "Appendix - Sample Calculation" and the determination of the analytical formula for the current i_(3). (ii) do a similar analysis of the "Circuit 2" in order to determine an analyticalā¦
P.2-14 Express the heta -component, E_( heta ), of a vector E a) in terms of E_(x),E_(y), and E_(z) in Cartesian coordinates, and b) in terms of E_(r) and E_(z) in cylindrical coordinates. Express the 0-component.Eof a vector E a in terms of ExEy,and E.in Cartesian coordinates,and b in termsā¦
1.) Suppose you had an object on a surface with a string attached to the side of the object such that it can be pulled along the surface with a variable amount of force. (a) In a few sentences, outline how you could vary the applied force to determine the maximum static friction. On a force vs.ā¦
For small diffraction angles Bragg's Law can be written as dr=lambda L, where d is the interplanar spacing ( d-spacing), r is the radial distance between the center of the zero-order spot and the associated spot or ring, lambda is the wavelength of the incident electrons and L is the distanceā¦
PROCESS B ->C THE ISOBARIC PERFORMANCE STROKE Process B->C is the PERFORMANCE STROKE of this engine because this is when the machine lifted the load. Lifting the load was the purpose of the engine. The process is isobaric because it happens at atmospheric pressure, while the load keeps aā¦
A person has a reasonable chance of surviving an automobile crash if the deceleration is no more than 30 g's.
C/4, C/4, C/4, C/4
The temperature dependence of resistivity for two materials is given by P1(T) ~ P1,0(1 + a1(T - To)), P2(T) ~ P2,0(1 + a2(T - To)), where a1 and a2 are the temperature coefficients of resistivity for the two materials and |a1(T - To)| < 1 and |a2(T - To)| < 1. It is known that P2(To)/P1(To) =ā¦
Consider a layer of the atmosphere between two pressure levels as shown below. Suppose that the flow is horizontally convergent in a thin layer near the bottom boundary and horizontally divergent in a thin layer near the bottom boundary. Assume that the flow is non-divergent elsewhere. a. Basedā¦
A brick is thrown upward from the top of a building at an angle of 25 degrees to the horizontal and with an initial speed of 12 m/s. If the brick is in flight for 3.5 s, how tall is the building? Need Help? Submit Answer
Answer = 0.476 rad/s^2 Please include free body diagram, kinetic diagram and explain each step. 17-75. The man pulls up on the cord with a force of 80 N. Determine the angular acceleration of the spool if there is no slipping at A. The spool has a mass of 60 kg and a radius of gyration aboutā¦
2.(a) Describe the two-dimensional primitive unit cell of a honeycomb lattice (graphene). What type of lattice is formed? What is the basis? Draw one unit cell. (b) By cutting a honeycomb lattice we get regular edges. How many types of edges are there? Discuss main/different features of theseā¦
For the circuit below, let L=0.4mH,C=1pF,R_(C)=100Omega , and R_(O)=3.8kOmega . Calculate: a. The impedance, Z_(i)(jomega ), seen by the input V_(i)(jomega ) b. The frequency response of the circuit, H(jomega )=v_(out )(jomega )/(V_(i))(jomega ). c. Then calculate |H(jomega )| at omega =0,inftyā¦
In class your instructor derived the strength of an electric field a distance "r" from an infinitely long, infinitely thin, uniformly charged wire whose charge per unit length was lambda . The answer was that the electric field was given by vec(E)=(lambda )/(2pi epsi _(o)r)hat(r), where hat(r)ā¦
2.27. Figure 2-3 depicts the electric field (in the y-direction) of a planar electromagnetic wave traveling in the positive x-direction in vacuum. Determine the corresponding B-field. Ans. B_(x)=B_(y)=0,B_(z)=6.6 imes 10^(-8)cos2pi 10^(3)(x-3 imes 10^(8)t) Fig. 2-3 Fig. 2-4 2.27. Figure 2-3ā¦
Class: Intermediate Fluid Mechanics. I need help understanding these notes. They're for Blasius solutions in fluid mechanics, but I can't make heads or tails of this information. Starting with the psi relationships, and especially the d(psi)/dy term, I have no idea what he's doing for the U =ā¦
An electron trapped in a solid defect is modeled as a 1-dimensional particle in a box. It has the wave function Ļ(x) = 0.230Ļā(x) + 0.973Ļā(x). What is the probability that the wave function is in the n=2 state?
P8.6 Consider a 2D spacetime whose metric is ds^(2)=-e^(-(x)/(a))dt^(2)+dx^(2) where a is a constant with units of meters. (Unlike the spacetime in problem P8.5, the underlying geometry of this spacetime is not flat.) a. Show that the t component of the geodesic equation implies thatā¦
The Planck radiation law is given by: Ļ(v)dv = (8Ļ)/(c^(3))(hv^(3))/(e^((hv)/(kT))-1)dv To prove that the Planck radiation law can be approximated by Wien's law Ļ(v)dv = Cāv^(3)e^(-Cā(v)/(T))dv at short wavelengths. (5 points) To prove that the Planck radiation law can be approximated by theā¦
The electric charge of the proton is not concentrated in a point but rather, distributed over a volume. According to experimental investigations at the Stanford Linear Accelerator, the charge distribution of the proton can be approximately described by a charge density which is an exponentialā¦
I need help with part B. Problem 2: 3Pf-3 AF dE=ICESiNO tuat cancels out its direction r=n2+d2 R (b) Find an expression for the electric field at point P. Your answer should be a symbolic expression that only depends on the variables k, Q, R, and d. Hint: you will have to break the line up intoā¦
(b) Consider now the case where Ļā, Ļā are possibly mixed, and show that (1/2)||Ļā-Ļā||ā ā¤ ā(1-FĀ²(Ļā, Ļā)). To establish this, you will have to use the fact that trace-norm is contractive under partial trace i.e. if Ļā', Ļā' are density matrices over a space HāāHā larger than the original spaceā¦
Assume the one-dimensional particle wave function is psi = A(1+x)e^{-alpha x}, ext{ for } x>0, A(1-x)e^{alpha x}, ext{ for } x<0, ext{ where } a ext{ is constant.} (a) If the potential field is continuous, please calculate the normalized wave function. (5 points) (b) If at x=infty, V(x)=0,ā¦
HW-4-1. For a system of 2 different atoms / unit cell, show that a) The acoustic mode in the q->0 limit corresponding to 2 atoms in the unit cell moving in phase with each other : *->0-> or larr*larr0,*= atom with mass M_(1), and O= atom with M_(2). b) The optical mode in the q->0 limitā¦
a) Develop the model of the following system. Input f(t) Output Īøā(t), Īøā(t) a) Develop the model of the following system. Input f(t) Output Īøā(t), Īøā(t)
Fine structure and hyperfine structure of hydrogen atoms (given by Dirac equation - relativity quantum mechanics) (1) Calculate the energy levels of n=1,2, and 3 for hydrogen atom when only considering the electrostatic interaction (Coulomb force) between the nucleus and the electron. Theā¦
Consider a square well pair interaction energy given by u(r)={(infty, for r<=d),(-epsilon, for d+Delta):} Calculate the second virial coefficient. 2. Consider a square well pair interaction energy given by u(r)={0, for r<=d),(-epsilon, for d+Delta):} Calculate the second virial coefficient.
Plot the majority carrier concentration for a doped (extrinsic) semiconductor as a function of temperature. Compare this with an intrinsic semiconductor. What is freeze-out? [5] 3. Plot the majority carrier concentration for a doped (extrinsic) semiconductor as a function of temperature.ā¦
EEL 3003 , sec. 2 Homework #3 Sp24 5. For the circuit below, let L=0.4mH,C=1pF,R_(C)=100Omega , and R_(O)=3.8kOmega . Calculate: a. The impedance, Z_(i)(jomega ), seen by the input V_(i)(jomega ) b. The frequency response of the circuit, H(jomega )=v_(out )(jomega )/(V_(i))(jomega ). c. Thenā¦
State Newton's 2nd law. If an object has a mass of 200 grams and the net force acting upon that object is 5N, what is the acceleration of that object? Two objects have masses mā and mā, respectively. If mā = 2mā, and the same force F is applied on these two objects, what would be the ratio ofā¦
Compute the Wronskian of: f_(1)(t) = cos(at), f_(2)(t) = cos(a(t-c)), a, c = const ā 0 (recall: sin(x+y) = sin(x)cos(y) + cos(x)sin(y)) cos(x-y) = sin(x)cos(y) - cos(x)sin(y) 2cos(ac)sin(ac) acos(ac) asin(ac) 2sin^(2)(ac) Compute the Wronskian of: 0 + u = p - s = fso = f recall: sin + y = sinā¦
Problem Set #1 1. Find the resultant of the forces acting on the eyebolt. 2. Determine the magnitude of Q and Theta . R is the resultant of P and Q attached to the support. 3. Determine the resultant R of the three given tension forces. Find the magnitude of R and the angle heta , which Rā¦
Q4. Find the curl of the vector field. vec(V)(x,y,z)=(x^2)y,3y,5)=x^2yhat(i)+3yhat(j)+5hat(k) ((vec(grad)) imes (vec(V)))=((delV_z)/(del y)-(delV_y)/(del z))(hat(i))-((delV_z)/(del x)-(delV_x)/(del z))(hat(j))+((delV_y)/(del x)-(delV_x)/(del y))(hat(k)) Q4. Find the curl of the vectorā¦
The voltage drop across resistor #4 is? 30 volts 12.5 volts 2.5 volts 15 volts 45 volts R1=6 R4=1 R2 =6 S R3 = 6 S E= 90 volts R5=10 R6=10 R7 = 4 S The voltage drop across resistor #4 is? 30 volts 12.5volts 2.5 volts 15 volts 45volts
Two couples act on the frame. (Figure 1)Part A Two couples act on the frame. (Figure 1) Figure If d=6.2ft, determine the resultant couple moment either by summing the moments of the two couples or resolving each force into x and y components and then summing the moments about B of all the forceā¦
2.1 Write down the state equation representing the small perturbation longitudinal motion of the aircraft CHARLIE- 3 . 2.1 motion of the aircraft CHARLIE-3 2.2 elevator deflection,Oin radians for the aircraft CHA
Determine the following: (a) Time to reach a height of y = 176 feet. (t) = 0, t = 0 seconds.
(Need help for Review sheet) Some practice problems: For each problem below, clearly identify the type of equation: Linear Equation, Separable Equation, Bernoulli Equation, Nonlinear Homogeneous Equation, or Exact Equation. Find the general solution (give an explicit solution unless instructedā¦
Problem - Consider the crankshaft shown in Figure 1 . The system is positioned on a vertical plane (g=9.81(m)s^(-2)) and is formed by two massless rods of length L and 2L, respectively. Three pivots, about which the two rods can rotate, are placed at points O,I and 2 in figure. The two rodsā¦
What relationship did you find? What quantities did you plot on the vertical and horizontal axes? Write the relationship as an equation. What are the units for the slope? State the meaning of the slope of the line. Did the spool of wire obey Ohm's Law? What is the resistance of the wire? Pleaseā¦
Using the continuity equation, show that the Schrƶdinger equation with a vector potential Hamiltonian, of the form i(delpsi )/(delt)=((((widehat(P))-e(widehat(A)))^(2))/(2m)+(widehat(V)))psi produces the following current, in the Coulomb gauge: J=(e)/(2m)(psi ^(**)ppsi -psi ppsiā¦
In Nashville, on a summer day, assume that you want the inside temperature at 25Cdeg , and the outside temperature is 38Cdeg . In Chicago, use an outside temperature is 30Cdeg . Using a Carnot air conditioner as a limit, tell in which location will you get the most bang for your buck (heatā¦
In the quantum mechanics class, we were told that the total angular momentum basis (LHS) is equal to the basis in the product basis (RHS) as below. However, I don't have any clue how to reach the result. The professor gave a clue that it is about Clebsch-Gordan coefficient and using theā¦
Consider the limit a->0 of the potential well, with the restriction of V_(0)a as a constant. a) How many linked states are there? b) What are the energies of these linked states? Consider the limit a->o of the potential well, with the restriction of Voa as a constant a) How many linked statesā¦
HW 4-2 In the case for diatomic chain, if we set M_(1)=M_(2) in (15), discuss the solution for the vibrations and compare the results with that of a monoatomic chain. omega ^(2)=(2C(M_(1)+M_(2))+-[4C^(2)(M_(1)+M_(2))^(2)-16M_(1)M_(2)C^(2)sin^(2)(K(a)/(2))](1)/(2))/(2M_(1)M_(2)) HW 4-2 In theā¦
{:[P_(4)=10 kPa S_(45)=s_(3)]}x_(45)=(S_(45)-S_(f))/(S_(fg))=(6.8-0.6492)/(7.4996)=0.8201 h_(45)=h_(8)+x_(45)h_(fy)=191.81+(0.82)(2392.1)=2153.6 (kJ/kg) eta _(T)=(h_(3)-h_(4))/(h_(3)-h_(45))=>h_(4)=h_(3)-eta _(T)(h_(3)-h_(45)) =3411.4-(0.87)(3411.4-2153.6) =2397.1ā¦
Find the Stark splitting between n=3 states with magnetic number m=+1 in a constant electric field (pointing along the z-axis) using first-order degenerate perturbation theory. You should write the radial integral ā«āį“µāæį¶ į¶¦āæā±įµŹø drFįµ¤(r) in terms of the hydrogen radial wave functions, but you do notā¦
electric field of a electromagnetic wave is given by tilde(E)=(2+i)[hat(x)+4hat(y)+3ha(z)]e^(i(3.6y-4.8z-omega t)) Draw the approximate propagation vector in a coordinate system, and calculate the wavenumber (=|vec(k)|) and angular frequency omega . Is the wave transverse? Is it a planeā¦
An infinite plate is uniformly charged with charge density Ļ. Normal vector to the plate is i. Its velocity is v(t)=Īø(t)vāk. a. Find magnetic and electrical field as a function of time. b. What is the force (per unit of area) to be applied to the plate to maintain constant velocity? c. What isā¦
the electric field at radial points r where r=0.0cm. Tries 0/4 Find the electric field at radial points r where r=9.5cm. Submit Answer Tries 0/4 Find the electric field at radial points r where r=21.0cm. Submit Answer Tries 0/4 Submit Answer Tries 0/4 (8c23p69) A thin, metallic, spherical shellā¦
I only need help with 3, 4, 5 Physics 342 Homework 8 Two equal mass objects have a collision in an inertial frame. In this frame, object A has an initial velocity of v_(0)hat(x) and a final velocity of -v_(0)hat(y). Object B (same inertial frame) has an initial velocity of -v_(0)hat(x) and aā¦
A 2kg block originally at rest is being pushed by a force F at an angle of Īø = 30Ā° below horizontal. The mass of the block is 2kg. The coefficients of static and kinetic friction between the block and the floor are respectively Ī¼s = 0.30 and Ī¼k = 0.28. 5.88 Newtons cosĪø - 0.8 = (Vs) / (Vs) Vkā¦
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