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December 2021
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Physics 103
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December 10, 2021
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December 10 of 2021
(a) 1 17 (4) each -[ jo4p 2 { kshmg following (d) km 4 combinations of units the correct IS form using an appropriate prefix:
Consider the conducting plates shown in Figure 1. If V(1 = 0) = and V(x (a + 4) mm) = (b + c + 2) V, determine: V E, P, and D in the dielectric region (2S + a) between the plates. The surface charge density of free charge ps on the plates, the bound surface charge density of polarization charge…
Current distribution gives rise to the vector magnetic potential A = (a-1) p^2/4 μz - (a) p^1/4 μy Wb/m; calculate the total magnetic flux crossing the surface Φ = J/2. (I+c) < p < (2+c) m, a < z < (b+5) m.
'A thin disk of radius rolls back and forth in a spherical dish of radius R without slipping_ Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations:'
'247. Consider a particle moving in the region x > 0 under the influence of the potential U(x) Uo where Uo 1 J and & 2 m. Plot the potential, find the equilibrium points, and determinc whether they are maxima or minima:'
Jazz LTE 2:50 PM 76% Classical Dynamics of Particles and 248. Two gravitationally bound stars with equal masses separated by distance d, Fc vole about their center of mass in circular orbits. Show that the period is proportional to d^(3/2) (Kepler's Third Law) and find the proportionality…
'The formula for the contact potential of a pn-junction diode is given by the formula: Apo KI In NaNa "3 This contact potential ensures that the net current across the junction is zero. Which side is higher in electron potential energy - the n or the p-side? Briefly explain your answer: b) Even…
The formula for the contact potential of a pn-junction diode is given by the formula: Ado KIIn 'Na-) a) This contact potential ensures that the net current across the junction is zero. Which side is higher in electron potential energy - the n or the p-side? Briefly explain your answer. b) Even…
'What is the height of the blue ball seconds after the red ball is thrown? Submit How long after the red ball is thrown are the two balls in the air at the same height? Submit'
'2_ From your video, step through it frame by frame and record the time from the moment the ball leaves your hand. Then make note of the time right before the ball comes back to your hand Find the time of flight of the ball and write out all your work below. Time the ball left hand: 00.002 Time…
'Problem 3 Consider an initial state consisting of T+ and The orbital angular momentum of the system is € in the center of mass frame. Determine the charge conjugation; C, value of Ttt state: If € = 1 is given, discuss whether it can decay into two photons.'
So, akg astronaut is training in a human centrifuge to prepare for launch. The astronaut uses the centrifuge to practice having a 40g force (3.40 times his own weight) on his back. Number of forces in plane: 14m Centripetal force: Are all forces balanced? How much force is acting on the…
"A pedestrian walks 7.0 km east and then 15.0 km north: Use graphical method to find the pedestrian's resultant displacement and geographic direction."
An engineer is trying to determine the maximum speed at which a vehicle can travel around the curve without skidding. She knows the coefficient of friction between the wheels and the road is 0.7 when the road is dry and 0.35 when the road is wet. She knows that the mass of the vehicle does not…
91 = +Inc 1 cm 1 cm 609 600 9z = + ZnC 1 cm 93 = -Znc
'3_ On the graphs below, fill in the missing graphs Each set should have position, velocity, and acceleration vs. time graph:'
65 kg skateboarder (including the skateboard) is skating over a hill as shown. When the skateboarder reaches the peak of the hill, he has both feet on the board and is moving at 6 m/s. Neglect any friction and drag impeding the motion, as well as the size of the skateboarder. Number of forces…
A student is swinging a 2.25kg ball attached to a 0.7m long string in a vertical circle as shown (measured from the hand to the center of the ball). When the ball reaches the highest point, it is traveling at 4.2m/s. Neglecting drag, the number of forces in the plane is: - Centripetal force -…
'A sprinter is coming out of a starting block; pushing at the instant of interest with just one foot The sprinter pushes backwards with a horizontal force of 739 Nand downwards with a vertical force of 1,021 N. What is the magnitude of the resultant force; in N?'
Mary is trying to pull Julie on a sled across a flat snowy field. Mary pulls on the rope attached to the sled: Her pulling force is directed horizontally. Julie weighs 76 pounds. The sled weighs 12 pounds. If the coefficient of static friction between the sled runners and the snow is 0.3, how…
'Elizabeth is standing on ice on a 4.3 degree slope: She weighs 116.9 Ibs What magnitude of force (in Ibs), acting along the slope; is tending to make her slide down the slope?'
Smooth wrecking ball swinging from crane as shown: When the wrecking ball reaches the bottom of the path, the wrecking ball is moving 9m/s. Neglect drag. Number of forces at play: Centripetal force. Are all forces balanced? 24m What is the radius of curvature of the path? (unit) What is the…
"Ellie is shooting a free throw: At the instant the ball leaves her hand the ball is traveling at a velocity of 7.2 m/sec, at an angle above the horizontal of 23.4 degrees_ If you are standing beneath the basketball rim, videotaping, you can only see the vertical motion of the ball, since its…
'Another sprinter is coming out of a starting block, pushing at the instant of interest with just one foot_ The sprinter pushes backwards with a horizontal force of 151.2 Ibs and downwards with a vertical force of 72.5 Ibs. What is the angle the resultant force makes relative to the ground, in…
The coefficient of static friction (μ) between the sole of a basketball shoe and a basketball court surface is 0.72. If point guard Earvin wears this shoe when he plays basketball and he pushes down on the surface when he starts to run with a vertical force of 1,043 N, then what is the maximum…
'1 If the figure is translated 4 units left; what are the coordinates of J? J [40)'
'22- In which ofthe following options the cutter given is newer than the others and is used frequently a) Oil cutter b) 0 Low oil cutter CO Vacuum cutter d) 0 Magnetic blower cutter e) Air pressure cutter'
'Which of the following best describes why the height of the end of a minute hand on a clock versus time would be modeled by a periodic function? The hand of the clock spins around and around Time repeats There Is a repeated height over a constant interval of time This is not an example of a…
If f' is continuous on [a,b], show that the following is true: ∫[a,b] f^2(x) f'^2(x) dx = [f(b)]^2 - [f(a)]^2
Apneumatic utility device %s actuated by a linear actuator of 10 cm bore and 3 cm rod diameter. Stroke is 30 cm. It operates with the rate of once per second. The operation pressure of air is 7 bar gauge and the cost of electricity is 1.5 TL/KW-hour. What is the cost of using this machine for…
The speed of light changes when goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46). The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol. 1.07 0.932 0.511 0.760
Paniagua A Search topics and skills Learning Diagnostic Analytics Recommendations Skill plans Geometry P.11 Similarity and altitudes in right triangles CE7 Math If ST = 19 and SV = 9, what is SU? Write your answer as a whole number or as a decimal rounded to the nearest hundredth. SU Submit
"An archer fires an arrow from a height of 1.80 m with a velocity of 25.4 m/s, 41.0* above the horizontal_ a. Find the maximum height the arrow will reach. b. Find the distance from the archer's feet where the arrow will hit the ground. Determine the angle at which the arrow will hit the…
NEXT BOOKMARK on 2/15 Determine whether the following scenarios have unbalanced or balanced forces: Situation Balanced Unbalanced Student Sitting at Desk Rocket Taking Off Building Collapsing Satellite In Orbit Car in Constant Speed on Straight…
Calculate how far the quasar is in light years by knowing the distance velocity MHo. Make the appropriate unit conversions.
The switch in the circuit below has been in the position for a long time and is moved to position B at t=0. The circuit parameters are Ri=1 kΩ, R2=4 kΩ, L=200 mH, and C=27 nF. (a) Find Vc(t) for t>0. Is the circuit overdamped, critically damped, or underdamped?
Two particles are at the same point at the same time, moving in the same direction. Particle A has an initial velocity of 7.5 m/s and an acceleration of 3.2 m/s². Particle B has an initial velocity of mfa and an acceleration of 54 m/s². At what time will Particle B pass Particle A? Answer in…
A 2408 kg car moving east at 12.3 m/s collides with a 3391 kg car moving east. The cars stick together and move east with a velocity of 7.56 m/s. a) Find the velocity of the heavier car before the collision. b) How much kinetic energy will be lost in the collision?
"The Earth is 1.49 104 meters from the sun: If the solar radiation at the top of the Earth'$ atmosphere is 340 Wim?. what is the total power output of the sun? 7.10 x 1027 W 2.20 x 1030 W 6.62 x 1026 W 3.74 > 1026 W 2.98 1025 W"
Which of the following can be a part of conflicting viewpoints passages? Various procedures adopted by a scientist Theories or hypotheses from researchers Numerical and graphical results of different experiments None of the choices
The solution of the differential equation (xy - v^2)dx + (x^2 + y^2)dy = 0 is:
(b) Apply composite trapezoidal rule to ∫e^x dx by taking (i) four subintervals (ii) eight subintervals and also calculate the absolute error in each case. What did you notice from these two cases? Explain clearly.
'A surveyor leaves her base camp and drives 42km on bearing of 0329. She then drives 28km on bearing of 1549. How far is she then from her base camp and what is her bearing from it?'
Two line charges are located in free space plane, the former is uniform and has the line current density of 1 A/m and located at y m. The latter is 2 = 10^2 S/m and has the line charge density as Pt = 1 C/m. Find the electric field intensity and X+ density at the point (2,7,-3).
'Two forces act on a 20.0 kg object: One force has magnitude 60 N directed 45" clockwise from the positive X-axis, and the other has a magnitude 30 Nat 609 counter-clockwise from the positive X- axis. What is the magnitude of this object's acceleration?'
422 N 185 N I. In Fig: the weight of the block on the table is 422 N and that of the hanging block is 185 N. Ignoring all frictional effects and assuming the pulley to be massless, find: (a) the magnitude of the acceleration of the two blocks and (b) the magnitude of the tension in the cord.
Direction: Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper. It is used to loosen or tighten screws that have a star-like depression on the top, a feature that is mainly found on laptops. a. Hex Driver b. Torx Screwdriver c. Philips…
Complete the table: 27, 23.4 m, 22.8 cm, 15.2 cm, 16, 6, 12, @, 9, (d), 3, 5 m, 2.8, 1.6 m (0) D (Type a whole number or a simplified fraction)
'Consider a uniformly charged ring (as shown in the figure below)- a) Find the electric potential at the point P_ b) Calculate the electric field at the point P from the potential vou calculated abov :'
Light is incident on double-slit. The fourth bright band has a linear distance of 7.0" from the central maximum. What is the distance between the slits (in LAt)? (Assume the frequency of the light is 1.54 x 10^14 Hz)
For a particle in one dimension in a region of constant potential energy V, the angular frequency ω and the wave number k of its associated wave function are related by: ω = (h * k^2) / (2m) + V a) Verify that, if a monochromatic wave of the form Ψ = e^(i(kr-ωt)) is substituted into the…
Post Test 4 Direction: Write TRUE if the statement is wrong; Write your answer correct and FALSE if it is on a separate sheet of paper. Obtaining the tool and all the associated tooling as recommended by the manufacturer and consumable parts is necessary. Some tools must be included and are not…
A circular loop of radius a = 3 cm carrying current I1 = 13 A is located in the xy plane as shown in Figure. In addition, an infinitely long wire carrying current I2 = 7 A in a direction parallel with the Z axis is located at Yo = 4 cm. The magnetic field at P(0,0,h = 4 cm) is parallel to P -…
An air-filled section of a coaxial transmission line is 5 m long, carrying a current of 6 A. Given that the radius of the inner conductor is 4 cm and the inner radius of the outer conductor is 6 cm, the magnetic energy stored in the insulating medium is 0.7 J.
A light rope is attached to block m1, which has a mass of 6.00 kg, and rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, massless pulley, and a block with mass m2 is suspended from the other end. When the blocks are released, the tension in the rope is…
[CLO4] Find the capacitance of the parallel plate capacitor below; given that Er1 = 3, Er2 = 6, A = 4m^2, d = 4m. Note that the two dielectrics split the region between the plates equally. R = 4.50 Ω C = 0.50 μF E = 2.00 V/m H = 0.11 T
Line segment CD is the perpendicular bisector of line segment AB. Is line segment AB the perpendicular bisector of line segment CD? 8 Yes.
Pre-test Directions: Write TRUE if the statement is correct and FALSE if it is wrong. Write your answer on a separate sheet of paper. When obtaining the tool, all the associated tooling and consumable parts as recommended by the manufacturer must be included. 2. Some tools and equipment must be…
'Consider the following charge configurations below: Here 41 5 pC, 92 =5 HC, and 93 10 VC. The distance is a = 1 mm. Calculate the force on q3. You should calculate the force component along x and y directions). Present the results in terms of a force vector.'
'105 Q (a) Calculate the equivalent resistance of the circuit: (b) Calculate the current through (drawn from) the battery: (c) What is the total power dissipated by this circuit? (d) What is the magnitude of the voltage across the 105 Q resistor? (e) What is the voltage across one of the 75 Q…
4- Applied voltage to the single core cable is equal to 250 kV and cross-sectional area of the cable is 12.56 cm². Calculate the diameter of the cable (r₁) and insulation thickness (r₂ - r₁). Calculate the Emax, Ecrit, and Einsulation.
An object is placed at a distance of 5f in front of a convex lens of focal length f that is located at y=0. The difference between the two image positions, Y - Y, is calculated. An identical object is placed at a distance of 22f in front of a concave lens of focal length f.
The two mirrors illustrated in Figure below meet at a right angle. The beam of light in the vertical plane P strikes mirror as shown in the Figure below: Mirror Light beam Io.09 1.25m Mirror The same beam reflected by Mirror incident on mirror 2. Calculate the angle of reflection from mirror…
'6. Water is used t0 turn a large wheel to generate power within a flour mill_ The wheel is 5 m in diameter and the lowest point on the wheel is 1.5 m above the bottom of the river. The depth of the water is 3 m. The wheel rotates once every two minutes A frog jumps on top of the wheel and…
Compute the vector potential A for z > 0 in the Coulomb gauge corresponding to the current J = K8(2)y if A = 4, ∇⋅A = 0 and lim┬(y→0+)â¡ã€–Ay〗 = 0. Integrate the Poisson's equation analog to obtain your answer:
For boolean variables T1, T2, T3, T4, let A = {{T1, #4}, {1, T3}, {w1, T2, wa}, {12, T3}, {T2, 13, T4}, {T3, *a}}; B = {{", 33}, {T1, 34}, {71, 72}, {71, 12, T3}, {12, *3, T4}, {T3, T4}}. Determine which, if any, of A or B is satisfiable:
An infinitely long wire carrying a 25-A current in the positive x-direction is placed along the x-axis in the vicinity of a 20-turn circular loop located in the x-y plane (see figure below). If the magnetic field at the center of the loop is zero, what is the direction and magnitude of the…
Given that the acceleration of an object in 1-D motion is described in the graph below { a = l - t^2 a = t To find: the velocity v(t) for 0 ≤ t ≤ 10 s. Find velocity at t = 2 seconds [given the initial condition v(t) = 0 at t = 0] To find: the displacement S(t) for 0 ≤ t ≤ 10 s. Find…
'Your research team analysis the light of a mysterious object in space. By using a spectrometer; you can observe the following spectrum of the object. The Ha line peak is clearly visible: 1.0 0 . 8 1 0 0.6 2 Khk"hk qHLWw" HNhn 600 650 700 750 8a0 Wavelergth [n] 506 550 1850 (a) Mark the first…
"Problem 6: Consider two concentric cylinders each of length L. The radius of the inner cylinder is a while the radius of the outer cylinder is b. The medium between the two cylinders is filled with insulating material of permittivity € Determine the capacitance of the structure formed by the…
'While a rectangular object is floating on mercury; a quarter of its total volume is under the surface of the liquid. Additional water is layered on top of the mer- cury. What ratio of the total volume of the object is below the mercury-water level? (Assume that finally the object is totally…
"During the peak of the summer period in Sohar, an oil truck loaded 80,000 liters gas. On the way t0 Buremi to deliver the gas product, the temperature dropped due to cold weather where the temperature was 24 K lower than Sohar: Determine how many liters the oil truck delivered Take the…
'Explain briefly the principle of operation of APD photodetector. What are the main parameters tO consider in selecting photodetectors?'
An infinitely long wire located along the z-axis is carrying current I as shown in the figure. A square loop of height h and width b is located in the y-plane. The current in the wire is time-varying and is given by I = I0cos(ωt). (a) Calculate the total magnetic flux linkage through the…
Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive X-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive X-axis. With what tension and direction (with respect to the positive X-axis)…
The lawn mower shown in Fig. weighs 35 lb. Determine the force P required to move the mower at a constant velocity and the forces exerted on the front and rear wheels by the inclined surface: J0" I41: 13i 3in
An electron (mass = 9.11 x 10^-31 kg) leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 2.70 cm away. It reaches the grid with a speed of 3.30 x 10^6 m/s. If the accelerating force is constant, compute: (a) the…
#17) An eagle is soaring at 10.0 m/s horizontally with a fish in its beak. Then the fish is accidentally dropped. The eagle continues horizontally for another 30.0 m before diving to recover the fish when the fish is 50.0 m above the ground. (a) How long is the free fall of the fish? (b) How…
'Q2) Explain the working of zener diode on both forward and reverse bias. From the circuit in the Figure-2, Rs-IKO, Vz-7.ZV and R-3KO. If Vs = 12V. Find out the following DC parameters: Is = ? , Current passing through resistor Rs Il = ? , Current passing through resistor Rl Iz = ? , Current…
A 500-kV 60-Hz three-phase transmission line is 393 km long. The series impedance is 0.6+j0.4 Ω per phase per km and the shunt admittance is y = j5*10^-6 Siemens per phase per km. If the transmission line is compensated with a parallel compensation factor of 70%, the value of the inductor that…
81 A circuit includes an array of capacitors arranged as follows: Two 1µF capacitors are in parallel with each other, and this pair is in series with 3 capacitors of 10µF, 15µF, and 1µF. This whole array is in parallel with one 1µF capacitor in series with 4 pairs of capacitors, one being…
0 = 7 % + √Ve +' a) Determine the missing particle in the box. Fully justify your choice based on all relevant conservation laws. b) Determine which of the four fundamental forces is most likely responsible for this decay. Fully justify your answer. [HINT: Note the quark…
'What is diffusion? How is the cell membrane involved in this process? ~How are endocytosis and exocytosis related the the cell membrane as well?'
A door stopper spring is held at an angle from its equilibrium position and then released, and the angular velocity of the plastic end is given by the function: -0.2tω(t) = 3e cos(7t) 1. Find its angular acceleration function α(t). 2. Find its angular displacement function θ(t), assuming…
Two point charges of equal magnitude are 8.0 cm apart. At the midpoint of the line connecting them, their combined electric field has a magnitude of 45 N/C. Do the charges have the same or opposite signs? Explain. Find the magnitude of the charges. An electric field of +7 x 10^9 N/C exerts a…
A Corvette leaves the pit area of the racetrack and enters the main speedway with an initial velocity of +24.0 m/s and accelerates at +6.00 m/s². At the instant he enters the speedway (no time delay), a Porsche moving at a constant velocity of 70.0 m/s overtakes the Corvette and passes him.…
'R vs L - AWG 21 350 300 0 250 200 150 ] 100 50 20 40 60 Lenght (m) 80 100 Discussions:'
Module 1: Motion Assignment Booklet Use the following information to answer questions 5 to 8. Two smart cars depart from the same starting location (A) at the same time and travel different paths to the same destination (B), arriving at the same time. They have travelled different distances but…
A car is moving along a horizontal road (x-direction) at an initial velocity of 40.0 m/s. The driver decides to accelerate to a velocity of +80.0 m/s as he drives over a displacement of 200 m. How much time elapses while the car is accelerating over the displacement? (Consider the acceleration)
Module 1: Motion Assignment Booklet Use the following information to answer questions 5 and 6. Position in a horse race can be illustrated with vector arrows drawn from the starting point to the current location. The diagram below illustrates several position vectors drawn at various times in…
Title: Energy Conservation in Alpha Decay Location Our space is far from all other objects. The nucleus, whose mass is 8.35260225 kg and which is initially at rest, undergoes spontaneous alpha decay. The original nucleus disappears and particles appear: a He-4 nucleus of mass…
Given the following equation, verify if it is dimensionally correct: 0.12D = A Variable SL unit D (Drag Force) kg m/s² (speed) m² (area) g (acceleration) m/s² YES NO kg/m³
"45' Determine the tension in the two ropes attached to the rigid supports in the systems shown in Figure below, if the supported blocks are in equilibrium: 60' 10n"
Hypodermic needle is 3 cm long and 0.3 mm in diameter. Determine the excess pressure that is required along the needle for the water flow through the needle to be 1 L/s. Consider μ = 1.005 x 10^-3 Pa·s. 151.723 MPa 251.723 MPa 351.723 MPa 451.723 MPa
"Problem #19: You and a friend are watching fireworks that are launching from Grant Park You are 'standing right in front of 624 S. Michigan Building (L50 m from the launch area) and your friend is across campus at the Film Department (700 m from the launch area). The sound intensity at the…
The unstretched length of spring AB is 5 m. If the block is held in the equilibrium position shown, determine the mass of the block at D. Note that the spring constant for spring AB is 40 N/m and for spring AC is 30 N/m.
'If a starhas surface temperature of 9500K. What would be the frequency of the light given off at the peak wavelength; in Hertz?'
CHAPTER 3 Complex Differentiation 3.50. (a) Prove that the function f(z) = u(x, y) + iv(x, y) is harmonic. (b) Find a function such that f(z) = z + i is analytic. Find the conjugate function of u(x, y). (c) Express f(z) in terms of u(x, y) and v(x, y).
Cauchy-Riemann Equations 3.47. Verily that the real and imaginary parts of the following functions satisfy the Cauchy-Riemann equations and thus deduce the analyticity of each function: (a) f(z) = 2 + √z + 3i (b) f(z) = z^e (c) f(z) = sin(2/3).
'If a starhas surface temperature of 9500K. What would be the frequency of the light given off at the peak wavelength; in Hertz?'
Problem #12: The intensity of sound wave A is 100 times that of sound wave B. Relative to wave B, the sound level of wave A is: a. -2 dB b. +2 dB c. +10 dB d. +20 dB Problem #13: A source of sound emits 5.0 mW of acoustic power uniformly in all directions. Calculate the intensity of this…
'Jg 1 1 2 8 ! 1 [ 1 9 W 1 K 2 8 1 9 N 6 1 1 32 2 2 1 1;1 5 1 18 1 03 1 8 3'
'According to an observer at Earth's equator; what is the wavelength of the light that is sent by an astronaut at geosynchronous orbit &" using a 488.00 nm Ar-ion laser?'
'distant star has a peak wavelength of 0.00000077. What is the temperature ofthat star?'
'Problem 4: An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45" North of East; F2 = 750 N @ 30* West of North and F3 400 N @ 30: South of West Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium Ignore the…
Q. 39 A satellite of mass (m) revolves around the earth of radius (R) at a height (h) from its surface. If (g) is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is: (a) gh (b) R-h (c) R+h (d) R+h
'close to Q 40 A satellite is moving very time period of the planet of density (9). The satellite is 31 (a) PG 30 V3 (c) PG_ 31 (b) 2 pG 37 (d) 2 pG'
A 0.260 kg particle moves along an x-axis according to x(t) = -13.00 + 2.00t + 2.00t^2 - 6.00t^3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.40 s? Give an expression for the (a) x, (b) y, and (c) z components.
"An insulating solid sphere of radius R has a variable volume charge density: Po 0 where b and p0 are constants Each part is worth 5 points a) Find the total charge on the sphere b) Use Gauss's law to find the magnitude of the electric field at a point inside the sphere r<R) c) Similarly…
1. Re-write the following measurement results in their clearest form, with suitable numbers of significant figures. 0.611 x 10^3 + 39T 4.902 x 10^-5 15.284 x 10^-3m 5867.22 + 0.89151 A d) 5.410 = 1.329 F e) 0.000031766 = 0.000000096 $
'Briefly describe two physical properties of a light source that light can tell us when considered as a wave?'
A block of mass 2.0 kg is placed on a horizontal surface. The coefficients of static and kinetic friction between the block and floor are μs = 0.5 and μk = 0.3, respectively. A second block of mass 5.0 kg is placed on top of the first block. The surfaces of the blocks are really rough. A…
A particle moves in a straight line with a constant acceleration of 24 ft/s² for 6 s, zero acceleration for the next 4 s, and a constant acceleration of 14 ft/s² for the next 4 s. Knowing that the particle starts from the origin and that its velocity is 28 ft/s during the zero acceleration…
A total charge Q is uniformly distributed around a ring-shaped conductor with radius a. A charge Q is located at a distance x from the center of the ring (see figure). The force exerted on the charge by the ring is given by: F = (k * Q * q) / (a^2 + x^2) where k = 8.85 * 10^-12 Nm^2/C^2, Q =…
'Problem 3. Charge Metal Rod An isolated very long metallic rod with a uniform circular cross section of radius 0.55 mm has a constant charge per unit length of 2.25 10-8 Clm: Find the electric field magnitudes at distances 0.25 mm and (6) 0.75 mm. from the longitudinal axis of the rod:'
"You are standing on Jupiter's Moon Europa and you have a bowling ball and a soccer ball of the same diameter: a) When dropped from the same height; which would reach the ground first? b) How would the time it takes an individual ball to reach the ground be different on Earth? c) If you had to…
'Problem 2. Concentric Insulating Spheres. An insulating solid sphere, of radius with a uniform volume charge density p > 0, is placed concentric with an insulating spherical shell, of inner radius and outer radius with uniform volume charge density ~p. Calculate the electric field at…
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
Problem: Exponentially Decaying Charge Density. A spherically symmetric charge distribution is described by volume charge density given by p = Po*e^(-r/a), where Po and a are both positive constants, and r is the distance from the center of the distribution. (a) Determine the electric field at…
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
Problem 1 How long does it take a P-wave to travel 2,000 miles? 2. How long does it take an S-wave to travel 2,000 miles? 3. How long does it take a P-wave to travel 1,800 miles? 4. How long does it take an S-wave to travel 800 miles? 200 2,500 300 MSTLHCI FpICiATFB
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
A THERMAL FLUX OF 6x10^6 STRIKES cm/sec. The two materials as shown below: 181 Mn Ta DEFECTOL Gcn A) CALCULATE THE FLUX MEASUREMENT AT THE DETECTOR. B) FOR ABSORPTION OR SCATTERING? LOST DUE TO SCATTERING, THERMAL, EPITHERMAL, AND FAST NEUTRONS. 3.3 x 10^19 ABSORPTION Nrss. 13. Ta IgI a1
Use Newton's law of gravity to calculate the force of gravity between: a) The Earth and the Moon. b) The Earth and the Sun. c) A 93 kg person and the Sun when the person is the same distance from the Sun as the Earth. Note: For the calculations, please image your work and upload it to the…
'A THERMAL FLux OF 6x IO STRIKES Cm"sec The Two MateR IALS As SHOwN BELOW _ 181 Mn Ta' DEFEcTOl Gcn A) CALCULATE THE FLux MEASUREMENT At The DETEC ToR THE SYSTE M ARE MORE NEUTRoNS B.) FOR To ABeoRPTTON QR SCATT ERTNC ? Lost DUE ExPLAN: ScATTERING THELML EPITHERML 3.3 1A99 ABSORPTION Nrss…
'A THERMAL FLux OF 6x IO STRIKES Cm"sec The Two MateR IALS As SHOwN BELOW _ 181 Mn Ta' DEFEcTOl Gcn A) CALCULATE THE FLux MEASUREMENT At The DETEC ToR THE SYSTE M ARE MORE NEUTRoNS B.) FOR To ABeoRPTTON QR SCATT ERTNC ? Lost DUE ExPLAN: ScATTERING THELML EPITHERML 3.3 1A99 ABSORPTION Nrss…
'Consider a system of 2 6-sided dice where the sum of the dice is the macrostate: What happens to the entropy of the 7 macrostate if you add a third 6-sided die?'
An ant walks on a piece of graph paper straight along the X-axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.40 s. Determine the…
Q. No 05: One end of an aluminum wire whose diameter is 2.5 mm is welded to one end of a copper wire whose diameter is 8 mm. The composite wire carries a steady current of 1.3 A. What is the current density in each wire? Q. No 06: You are given the length of a heating wire made of…
The electric potential, relative to infinity, of a certain charge distribution with a total charge of Q is given by V = 4ta, where a is a positive constant. The corresponding electric field is given by (Derive).
Assuming the earth to be a sphere, calculate the moment of inertia about its own axis. The angular velocity of the earth is 7.3 x 10^-5 rad/sec. Calculate the kinetic energy of rotation of the earth. (R = 6.4 x 10^6 m; M = 6 x 10^2 kg).
'Determine the actual area of the irregular figure and its individual interior angle_ Sm 5m E 8m 5.5m 6m 4m A 5m'
Q. No 08: A parallel plate air capacitor having an area of 50 cm² and a spacing of 1.5 mm is charged to a potential difference of 625 V. (a) Find the capacitance; (b) the magnitude of charge on each plate; (c) the stored energy; (d) the electric field between plates, and (e) the energy density…
"An ant walks on a piece of graph paper straight along the X axis a distance of 10.0 cm in 2.20s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.40s. Determine the y…
'Q. 43 A solid sphere is rotation in free space: If the radius of the sphere is increased by keeping mass same, which one of the following will not be affected ? (a) momentum of inertia (b) angular momentum (c) angular velocity (d) rotational kinetic energy'
'47 : The moment Of inertia Of 4 thin uniform Q. of length L ad mass m rod about an axis 1 point at distance of ! from its through 3 one (b'
'Ex. 47 A disc of mass 2 kg and circular diameter 0.2 m is rotating about an axis passing through its perpendicular to its centre and plane. If it performs 120 revolutions per minute, calculate its rotational kinetic energy:'
'Two circular discs A and B have Q 6 equal and uniform thickness but massed have densities (01) and (pz) such that p1 > Pz: Their moments Of inertia is. (a) I1 > Iz (b) I1 >> I2 (c) I1 < I2 : : (d) I1 = I2- " '
A needle of sewing machine moves in 4 path 0.06 I long and makes 20 oscillations in 1 second. What is its displacement in 20 second after passing through the centre of its path:
'Q. No 01: Prove that "An excess charge added to the isolated conductor moves entirely to its outer surface None of the excess charge is found within the body of conductor" Q. No 02: An electrometer is a device used to measure static charge. Unknown charge is placed on the plates of a capacitor…
EX: 49 A particle performing SHM has a period of 6 seconds and its maximum velocity during oscillation is 6.28 cm/s. Find the time required by it to cover a distance of 3 cm.
'Ex 9 : A particle executes SHM with amplitude of 10 cm and period of 10 $. Find the velocity i) acceleration of the particle at distance 5 cm from the equilibrium position.'
'Ex: 81 Two parallel S.HM.s are given by X1= 20 sin (8r t) and Xz = 10 sin 8n t + 3 in CGS 2 units. Find the resultant amplitude and phase of resultant S.HM'
Projection Angle Max. Horizontal Max. Vertical Displacement Displacement 25 degrees 3.9m 0.91m 40 degrees 5.02m 2.11m 45 degrees 5.1m 2.55m 50 degrees 5.02m 2.99m 65 degrees 3.9m 4.19m 70 degrees 3.28m 4.5m 80 degrees 1.74m 4.94m
'Determine the resultant moment about point A of the system. Each square is 1 ft on a side: 80 Ib 80 Ib 100 Ib 100 Ib 100 200 Ib'
"Q 12 In SHM. path length is 4 cm and maximum acceleration is Zv' cm/s'. Time period of motion is (a) 2 $ 4 $ (b) (d) V2 s 1/2 $ (c)"
'Ex. 10 A body describe SHM in a path 0.12 m long: Its velocity at the centre of the line is 0.12 ns. Find the period, also find magnitude of velocity at a distance V3 x 10 2 m form the central position.'
Problem Assume two adjacent interstellar gas clouds with known thickness d1 and d2 found in front of an astronomical light source. Suppose that this source emits a beam of radiation with known specific intensity [@] as it enters the first cloud of interstellar gas. Calculate the specific…
'(Aluminum) Density-2,70Ckolm" Spaed Z0umisec (Water) Density= 1,OOkalm Speed soom(sec P=10] pE and pt is power here Part a `- Wave propagating an aluminum block surrounded by water (you can consider Material 1 as aluminumand Material Water). The pressure amplitude ofthe incident wave 1ON/m?…
'Q 13 Time period of pendulum is 6.28 sec and amplitude of oscillation is 3 cm. Maximum acceleration of pendulum is (a) 8 cm/s? (b) 0.3 cm/s? (c) 3 cm/s? (d) 58.2 cm/s?'
'1-Wp solar panel has an efficiency of 15% and costs $1.50. It costs another $L.50 to install and it is projected to last 25 years_ Assume it receives peak sunlight 30% ofthe time. How much does the electricity it produces cost per kWh? What is the energy payback time if the local energy coss…
[3] A particular geometric object in 3D Euclidean space is defined by the equations: x^2 + 2y - 2 = 0 y = 2 + 1 Describe the geometric object in question: (b) What is the closest that this object gets to the point (x,y,z) = (2,1,2)?
The position of particle p is defined using polar coordinate system r, θ such that θ = (3/1) sin (nt), r = 6 (1 - e^(-2t)), where θ and r are expressed in radians, inches and seconds, respectively. When t = 1 s, determine the velocity and acceleration of p.
The picture shows a heavy ball held in the palm of a hand. The mass of the ball M is 7.5 kg. The lower arm is horizontal and is held by the force from the bicep muscle in the vertical upper arm. Given that the mass of the lower arm is 2.0 kg, what is the magnitude of the force of the bicep…
Which two spectral types were added to the spectral sequence after 1998? K and M for late-type stars and L and T for brown dwarfs. Y and Z are not valid spectral types.
PROBLEM 04: The resultant of the concurrent forces shown. Force 0 of 60° directed. Determine the unknown force.
'The velocity of a particle is shown in the graph below: Take note that at t=0, s-0_ Draw the a-t and s-t graph of the particle v(t), m/s 6 t,seconds 3 -4'
A force of 550 N directed towards the right and another force of 300 N have vector forces. What must be the magnitude and direction of the third vector force in the system of three forces to have a resultant?
'hot-air balloon is rising upward with a constant speed when passenger drops a camera. The camera took 3.2 s to reach the ground a) Ifthe cameras speed is 26 m/$ just before it lands Find the cameras initial velocity? b) How far was the camera from the ground when it was dropped?'
PROBLEM 02 magnitude of whose resultant. Find the angle between two vector forces whose magnitudes are F and 3F and the
'Q2. (a) Starting with the assumptions made, show that according to Einstein s theory of specific heat of solids, at very low temperatures C varies exponentially with temperature T _ (b) Explain why the contribution of free electrons to the total specific heat of a metallic solid is…
'hot-air balloon is rising upward with a constant speed when passenger drops a camera. The camera took 3.2 s to reach the ground a) Ifthe cameras speed is 26 m/$ just before it lands Find the cameras initial velocity? b) How far was the camera from the ground when it was dropped?'
"campus bird spots a member of an opposing football team in an amusement park The football player is on a ride where he goes around at angular velocity W at distance from the center. The bird flies in a horizonta circle above him. Will dropping the bird releases while flying directly above the…
A small sphere attached to light rigid rod rotates about an axis perpendicular to and fixed to the other end ofthe rod Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is…
03. Gerry & Knight Ch.2 2.3 Use The Baker-Hausdorff formula to show that the time dependence of the annihilation operator is a(t) @(0)e^(iwt) 05. Gerry and Knight Ch.2 2.6 Consider the superposition state |wbo1) = a|o) + B|1) where a and B are complex and satisfy |a|^2 + |B|^2 = 1. Calculate…
Snowballs are thrown in a direction 340° above the horizontal from a roof. It took 2.4 s for the snowball to land on the ground, x = 23.6 m from the initial position (see figure). a) Find the initial speed of the snowball. b) What is the direction and absolute value of the snowball's…
'7.7 As an example of the cxplicit construction of a potential determined by the density; find the onc- dimensional potential V (x) that gives the density Aexp( ax2) , where normalization constant A is chosen SO that the density corresponds to one electron. Express the answer in terms of &.'
The particle's path can be defined by y = x^2. At x = Zm, Vx = Zm/sec, and ax = Zm/sec^2. Vy and ay at x = 2m will be Vy = 8m/sec and ay = 8m/sec^2.
'Spherical surface charges (Q and -Q) have radius of b and a, respectively. Please determine: (a) The E field and (b) the potential at point P(r, 0, 0) for all values of r b'
'21.10 Three point charges are located as shown in the diagram a) What is the electric field at point P 8.2 HC X = 40 cm; y = 0) due to the three charges? b) If a 5 AC charge 30 cm placed at point P, what is the force on the 5 UC charge due to the other 6.7 HC - 3 charges? 30 cm 8.2 uC 40 cm'
'(1) Based on Bohr model assumptions, prove that the wavelength equation of the hydrogen emitted radiation is given by 1 Ru 0-4 Answer'
"(1) Based on modified Bohr's model of hydrogen atom;, prove that the total energy is given by: -13.622 En eV n2 Answer"
'(2) Find the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from n; = 4 to nf = 1. (Ru = 1.097 x 10-34-1) Answer'
'(2) Determine, the shortest and longest wavelengths of the Balmer series of hydrogen_ (Ru 1.097 X 107m-1) Answer'
'10) If a cyclist is going around curve at constant speed, is he accelerating? If so, what is the direction of his acceleration, and how the direction is related to velocity? Explain using a graph for full credit:'
Given the function f_1(x) = e^x + sin(x) and the equation V - e^(-y^2) = 2Wka + the gradient of the function A : VV b f c +L day s A fic + cer (of A 8 ) fica +Ke Laplacian sF V
You are driving to the store at a constant velocity of 60.0 km/h East when you see a squirrel run into the middle of the road. It takes you 200.0 ms for you to react and to begin applying the brakes. Once you start braking, you accelerate uniformly to rest in 2.00 seconds. Sketch the…
Explain what has happened to the number of elements in the universe over time (beginning with the big bang up to the present day). Now, based on your explanation, draw a graph that illustrates the number of elements in the universe as a function of time (beginning with the big bang up to the…
'Fill-in-the-blank: If the width of the barrier doubles; everything else being the same_ the tunneling current will (increase Or decrease? ) by factor of If the work function @ decreases by factor of two, everything else being the same, the tunneling current will (increase or decrease?) by…
'18. Find the Resultant Force using a Graphic Method 26 300 = C= 158 16 For extra credit;, verify with analytical method'
06: Why must a GM tube for detecting α-particles have a very thin end window? Why does a GM tube for detecting γ-rays not need a window at all? 07: If you swallowed an α-source and a β-source, which would be more dangerous to you? Explain why? 08: Why is a short-lived α-particle more…
Vo = 309 m/s 10 m 10 m 20 m Find the following when the projectile is at point M: 1) Total time in flight (from launch to point M) 2) Height above the ground (Dy) (Pick ground level at launch point) 3) The velocity at point M (note in a projectile the velocity is tangent to the point and will…
'For the state Iw) = 8/+) - 2i/5/-) calculate the expectation values and uncertainties for measurements of Sz, Sx and Sy'
Part D What is the amplitude of the voltage across the capacitor? Express your answer in volts: Vc = 1290 Submit Previous Answers Correct. The correct answer is shown: Your answer 1293.12 V was either rounded incorrectly in this part. Part E What is the average power supplied by the source?…
'Table l: Varying Distance Distance (m) Work (J) Photogate Time Final Velocity (mls) 1.844 40 1.263 40 1.052 40 0.908 40 0.822 40 Kinetic Energy ( 20000 20000 20000 20000 20000 10 20 30 40 50 1006 2131 3084 4151 5139'
"Ex. 8 ; The kinetic energy of the earth is 2.6 1029 and its angular speed is 7.27 X 10 5 rad/s. Then calculate its moment of inertia. {(' . 0?"
'What IS the magnitude and direction of the resultant In the sketch below? 99 12 379'
"Q. 56 If the density of the earth is doubled by kipping its radius constant, then the new acceleration due to gravity will be (B = 9.8 mls') (a) 19.6 m/s? (c) 39.2 m/s? (b) 4.9 mls? (d) 9.8 mls?"
Given the following vibration signal f(t) = Asin(wt), determine the fundamental frequency for this periodic function. Set up the integral for Ao without solving. Which, if any, of the Fourier coefficients are zero? Open Question f()
A 10.0 kg block sliding on a frictionless horizontal surface at 7.00 m/s hits a spring that is attached to a wall. The block compresses the spring and momentarily comes to rest. The spring has a spring constant of 5000 N/m. a) What is the net work done on the block? Identify the force(s) doing…
'E =25x 103 N/c. (1.0) 0=0.10 m 1352'
'An experiment is carried out with monoenergetic photons in the "good" geometry shown in Fig: 8.7. The relative count rate of the detector is measured with diflerent thicknesses x of tin used as absorber The following data are measured: (cm) 0.50 1.0 15 20 3.0 5.0 NaRROW BE AN O}a…
Solve the geodesic equation for a 2-dimensional space with the metric dl = R^2(dθ^2 + sin^2θ dφ^2) and interpret the curves.
A 40.0 kg crate is on a horizontal surface. The coefficient of static friction is 0.400 and the coefficient of kinetic friction is 0.310. There are two forces applied to the crate, due to Mark pulling directly upward on the crate with a force of 285 N and Cynthia pulling the crate to the right…
A skier starts from rest on the 438 slope at time t = 0 and is clocked at t = 245s as he passes a speed checkpoint 18 m down the slope. Determine the coefficient of kinetic friction between the snow and the skis. Neglect wind resistance.
The net work of a cycle (where the system returns to the same state as it started) can be found from the P-V plot by: - calculating the area of the region enclosed by the path - calculating the area under the max of the path - calculating the area under the min of the path (Pavg * Vavg) * 5/9 +…
Determine the capacitance and tolerance for the capacitors shown in the figure below.
'Ex. 74 Calculate weight of body of mass 20 kg a5 depth half way to centre of 4t earth. (g = 9.8 m/s?)'
Q. 56 If the density of the earth is doubled by keeping its radius constant, then the new acceleration due to gravity will be (g = 9.8 m/s²) (CET-2010) (a) 19.6 m/s² (b) 4.9 m/s² (c) 39.2 m/s² (d) 9.8 m/s²
(a) 1 17 (4) each -[ jo4p 2 { kshmg following (d) km 4 combinations of units the correct IS form using an appropriate prefix:
Consider the conducting plates shown in Figure 1. If V(1 = 0) = and V(x (a + 4) mm) = (b + c + 2) V, determine: V E, P, and D in the dielectric region (2S + a) between the plates. The surface charge density of free charge ps on the plates, the bound surface charge density of polarization charge…
Current distribution gives rise to the vector magnetic potential A = (a-1) p^2/4 μz - (a) p^1/4 μy Wb/m; calculate the total magnetic flux crossing the surface Φ = J/2. (I+c) < p < (2+c) m, a < z < (b+5) m.
'A thin disk of radius rolls back and forth in a spherical dish of radius R without slipping_ Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations:'
Jazz LTE 2:50 PM 76% Classical Dynamics of Particles and 248. Two gravitationally bound stars with equal masses separated by distance d, Fc vole about their center of mass in circular orbits. Show that the period is proportional to d^(3/2) (Kepler's Third Law) and find the proportionality…
'The formula for the contact potential of a pn-junction diode is given by the formula: Apo KI In NaNa "3 This contact potential ensures that the net current across the junction is zero. Which side is higher in electron potential energy - the n or the p-side? Briefly explain your answer: b) Even…
The formula for the contact potential of a pn-junction diode is given by the formula: Ado KIIn 'Na-) a) This contact potential ensures that the net current across the junction is zero. Which side is higher in electron potential energy - the n or the p-side? Briefly explain your answer. b) Even…
'2_ From your video, step through it frame by frame and record the time from the moment the ball leaves your hand. Then make note of the time right before the ball comes back to your hand Find the time of flight of the ball and write out all your work below. Time the ball left hand: 00.002 Time…
'Problem 3 Consider an initial state consisting of T+ and The orbital angular momentum of the system is € in the center of mass frame. Determine the charge conjugation; C, value of Ttt state: If € = 1 is given, discuss whether it can decay into two photons.'
So, akg astronaut is training in a human centrifuge to prepare for launch. The astronaut uses the centrifuge to practice having a 40g force (3.40 times his own weight) on his back. Number of forces in plane: 14m Centripetal force: Are all forces balanced? How much force is acting on the…
"A pedestrian walks 7.0 km east and then 15.0 km north: Use graphical method to find the pedestrian's resultant displacement and geographic direction."
91 = +Inc 1 cm 1 cm 609 600 9z = + ZnC 1 cm 93 = -Znc
'3_ On the graphs below, fill in the missing graphs Each set should have position, velocity, and acceleration vs. time graph:'
A student is swinging a 2.25kg ball attached to a 0.7m long string in a vertical circle as shown (measured from the hand to the center of the ball). When the ball reaches the highest point, it is traveling at 4.2m/s. Neglecting drag, the number of forces in the plane is: - Centripetal force -…
'A sprinter is coming out of a starting block; pushing at the instant of interest with just one foot The sprinter pushes backwards with a horizontal force of 739 Nand downwards with a vertical force of 1,021 N. What is the magnitude of the resultant force; in N?'
Mary is trying to pull Julie on a sled across a flat snowy field. Mary pulls on the rope attached to the sled: Her pulling force is directed horizontally. Julie weighs 76 pounds. The sled weighs 12 pounds. If the coefficient of static friction between the sled runners and the snow is 0.3, how…
'Elizabeth is standing on ice on a 4.3 degree slope: She weighs 116.9 Ibs What magnitude of force (in Ibs), acting along the slope; is tending to make her slide down the slope?'
Smooth wrecking ball swinging from crane as shown: When the wrecking ball reaches the bottom of the path, the wrecking ball is moving 9m/s. Neglect drag. Number of forces at play: Centripetal force. Are all forces balanced? 24m What is the radius of curvature of the path? (unit) What is the…
"Ellie is shooting a free throw: At the instant the ball leaves her hand the ball is traveling at a velocity of 7.2 m/sec, at an angle above the horizontal of 23.4 degrees_ If you are standing beneath the basketball rim, videotaping, you can only see the vertical motion of the ball, since its…
'Another sprinter is coming out of a starting block, pushing at the instant of interest with just one foot_ The sprinter pushes backwards with a horizontal force of 151.2 Ibs and downwards with a vertical force of 72.5 Ibs. What is the angle the resultant force makes relative to the ground, in…
The coefficient of static friction (μ) between the sole of a basketball shoe and a basketball court surface is 0.72. If point guard Earvin wears this shoe when he plays basketball and he pushes down on the surface when he starts to run with a vertical force of 1,043 N, then what is the maximum…
'1 If the figure is translated 4 units left; what are the coordinates of J? J [40)'
'22- In which ofthe following options the cutter given is newer than the others and is used frequently a) Oil cutter b) 0 Low oil cutter CO Vacuum cutter d) 0 Magnetic blower cutter e) Air pressure cutter'
'Which of the following best describes why the height of the end of a minute hand on a clock versus time would be modeled by a periodic function? The hand of the clock spins around and around Time repeats There Is a repeated height over a constant interval of time This is not an example of a…
If f' is continuous on [a,b], show that the following is true: ∫[a,b] f^2(x) f'^2(x) dx = [f(b)]^2 - [f(a)]^2
Apneumatic utility device %s actuated by a linear actuator of 10 cm bore and 3 cm rod diameter. Stroke is 30 cm. It operates with the rate of once per second. The operation pressure of air is 7 bar gauge and the cost of electricity is 1.5 TL/KW-hour. What is the cost of using this machine for…
The speed of light changes when goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46). The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol. 1.07 0.932 0.511 0.760
Paniagua A Search topics and skills Learning Diagnostic Analytics Recommendations Skill plans Geometry P.11 Similarity and altitudes in right triangles CE7 Math If ST = 19 and SV = 9, what is SU? Write your answer as a whole number or as a decimal rounded to the nearest hundredth. SU Submit
"An archer fires an arrow from a height of 1.80 m with a velocity of 25.4 m/s, 41.0* above the horizontal_ a. Find the maximum height the arrow will reach. b. Find the distance from the archer's feet where the arrow will hit the ground. Determine the angle at which the arrow will hit the…
NEXT BOOKMARK on 2/15 Determine whether the following scenarios have unbalanced or balanced forces: Situation Balanced Unbalanced Student Sitting at Desk Rocket Taking Off Building Collapsing Satellite In Orbit Car in Constant Speed on Straight…
Calculate how far the quasar is in light years by knowing the distance velocity MHo. Make the appropriate unit conversions.
The switch in the circuit below has been in the position for a long time and is moved to position B at t=0. The circuit parameters are Ri=1 kΩ, R2=4 kΩ, L=200 mH, and C=27 nF. (a) Find Vc(t) for t>0. Is the circuit overdamped, critically damped, or underdamped?
Two particles are at the same point at the same time, moving in the same direction. Particle A has an initial velocity of 7.5 m/s and an acceleration of 3.2 m/s². Particle B has an initial velocity of mfa and an acceleration of 54 m/s². At what time will Particle B pass Particle A? Answer in…
A 2408 kg car moving east at 12.3 m/s collides with a 3391 kg car moving east. The cars stick together and move east with a velocity of 7.56 m/s. a) Find the velocity of the heavier car before the collision. b) How much kinetic energy will be lost in the collision?
"The Earth is 1.49 104 meters from the sun: If the solar radiation at the top of the Earth'$ atmosphere is 340 Wim?. what is the total power output of the sun? 7.10 x 1027 W 2.20 x 1030 W 6.62 x 1026 W 3.74 > 1026 W 2.98 1025 W"
Which of the following can be a part of conflicting viewpoints passages? Various procedures adopted by a scientist Theories or hypotheses from researchers Numerical and graphical results of different experiments None of the choices
The solution of the differential equation (xy - v^2)dx + (x^2 + y^2)dy = 0 is:
(b) Apply composite trapezoidal rule to ∫e^x dx by taking (i) four subintervals (ii) eight subintervals and also calculate the absolute error in each case. What did you notice from these two cases? Explain clearly.
'A surveyor leaves her base camp and drives 42km on bearing of 0329. She then drives 28km on bearing of 1549. How far is she then from her base camp and what is her bearing from it?'
Two line charges are located in free space plane, the former is uniform and has the line current density of 1 A/m and located at y m. The latter is 2 = 10^2 S/m and has the line charge density as Pt = 1 C/m. Find the electric field intensity and X+ density at the point (2,7,-3).
'Two forces act on a 20.0 kg object: One force has magnitude 60 N directed 45" clockwise from the positive X-axis, and the other has a magnitude 30 Nat 609 counter-clockwise from the positive X- axis. What is the magnitude of this object's acceleration?'
422 N 185 N I. In Fig: the weight of the block on the table is 422 N and that of the hanging block is 185 N. Ignoring all frictional effects and assuming the pulley to be massless, find: (a) the magnitude of the acceleration of the two blocks and (b) the magnitude of the tension in the cord.
Direction: Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper. It is used to loosen or tighten screws that have a star-like depression on the top, a feature that is mainly found on laptops. a. Hex Driver b. Torx Screwdriver c. Philips…
Complete the table: 27, 23.4 m, 22.8 cm, 15.2 cm, 16, 6, 12, @, 9, (d), 3, 5 m, 2.8, 1.6 m (0) D (Type a whole number or a simplified fraction)
'Consider a uniformly charged ring (as shown in the figure below)- a) Find the electric potential at the point P_ b) Calculate the electric field at the point P from the potential vou calculated abov :'
Light is incident on double-slit. The fourth bright band has a linear distance of 7.0" from the central maximum. What is the distance between the slits (in LAt)? (Assume the frequency of the light is 1.54 x 10^14 Hz)
For a particle in one dimension in a region of constant potential energy V, the angular frequency ω and the wave number k of its associated wave function are related by: ω = (h * k^2) / (2m) + V a) Verify that, if a monochromatic wave of the form Ψ = e^(i(kr-ωt)) is substituted into the…
Post Test 4 Direction: Write TRUE if the statement is wrong; Write your answer correct and FALSE if it is on a separate sheet of paper. Obtaining the tool and all the associated tooling as recommended by the manufacturer and consumable parts is necessary. Some tools must be included and are not…
A circular loop of radius a = 3 cm carrying current I1 = 13 A is located in the xy plane as shown in Figure. In addition, an infinitely long wire carrying current I2 = 7 A in a direction parallel with the Z axis is located at Yo = 4 cm. The magnetic field at P(0,0,h = 4 cm) is parallel to P -…
An air-filled section of a coaxial transmission line is 5 m long, carrying a current of 6 A. Given that the radius of the inner conductor is 4 cm and the inner radius of the outer conductor is 6 cm, the magnetic energy stored in the insulating medium is 0.7 J.
A light rope is attached to block m1, which has a mass of 6.00 kg, and rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, massless pulley, and a block with mass m2 is suspended from the other end. When the blocks are released, the tension in the rope is…
[CLO4] Find the capacitance of the parallel plate capacitor below; given that Er1 = 3, Er2 = 6, A = 4m^2, d = 4m. Note that the two dielectrics split the region between the plates equally. R = 4.50 Ω C = 0.50 μF E = 2.00 V/m H = 0.11 T
Line segment CD is the perpendicular bisector of line segment AB. Is line segment AB the perpendicular bisector of line segment CD? 8 Yes.
Pre-test Directions: Write TRUE if the statement is correct and FALSE if it is wrong. Write your answer on a separate sheet of paper. When obtaining the tool, all the associated tooling and consumable parts as recommended by the manufacturer must be included. 2. Some tools and equipment must be…
'Consider the following charge configurations below: Here 41 5 pC, 92 =5 HC, and 93 10 VC. The distance is a = 1 mm. Calculate the force on q3. You should calculate the force component along x and y directions). Present the results in terms of a force vector.'
'105 Q (a) Calculate the equivalent resistance of the circuit: (b) Calculate the current through (drawn from) the battery: (c) What is the total power dissipated by this circuit? (d) What is the magnitude of the voltage across the 105 Q resistor? (e) What is the voltage across one of the 75 Q…
4- Applied voltage to the single core cable is equal to 250 kV and cross-sectional area of the cable is 12.56 cm². Calculate the diameter of the cable (r₁) and insulation thickness (r₂ - r₁). Calculate the Emax, Ecrit, and Einsulation.
An object is placed at a distance of 5f in front of a convex lens of focal length f that is located at y=0. The difference between the two image positions, Y - Y, is calculated. An identical object is placed at a distance of 22f in front of a concave lens of focal length f.
The two mirrors illustrated in Figure below meet at a right angle. The beam of light in the vertical plane P strikes mirror as shown in the Figure below: Mirror Light beam Io.09 1.25m Mirror The same beam reflected by Mirror incident on mirror 2. Calculate the angle of reflection from mirror…
'6. Water is used t0 turn a large wheel to generate power within a flour mill_ The wheel is 5 m in diameter and the lowest point on the wheel is 1.5 m above the bottom of the river. The depth of the water is 3 m. The wheel rotates once every two minutes A frog jumps on top of the wheel and…
Compute the vector potential A for z > 0 in the Coulomb gauge corresponding to the current J = K8(2)y if A = 4, ∇⋅A = 0 and lim┬(y→0+)â¡ã€–Ay〗 = 0. Integrate the Poisson's equation analog to obtain your answer:
For boolean variables T1, T2, T3, T4, let A = {{T1, #4}, {1, T3}, {w1, T2, wa}, {12, T3}, {T2, 13, T4}, {T3, *a}}; B = {{", 33}, {T1, 34}, {71, 72}, {71, 12, T3}, {12, *3, T4}, {T3, T4}}. Determine which, if any, of A or B is satisfiable:
An infinitely long wire carrying a 25-A current in the positive x-direction is placed along the x-axis in the vicinity of a 20-turn circular loop located in the x-y plane (see figure below). If the magnetic field at the center of the loop is zero, what is the direction and magnitude of the…
Given that the acceleration of an object in 1-D motion is described in the graph below { a = l - t^2 a = t To find: the velocity v(t) for 0 ≤ t ≤ 10 s. Find velocity at t = 2 seconds [given the initial condition v(t) = 0 at t = 0] To find: the displacement S(t) for 0 ≤ t ≤ 10 s. Find…
'Your research team analysis the light of a mysterious object in space. By using a spectrometer; you can observe the following spectrum of the object. The Ha line peak is clearly visible: 1.0 0 . 8 1 0 0.6 2 Khk"hk qHLWw" HNhn 600 650 700 750 8a0 Wavelergth [n] 506 550 1850 (a) Mark the first…
"Problem 6: Consider two concentric cylinders each of length L. The radius of the inner cylinder is a while the radius of the outer cylinder is b. The medium between the two cylinders is filled with insulating material of permittivity € Determine the capacitance of the structure formed by the…
'While a rectangular object is floating on mercury; a quarter of its total volume is under the surface of the liquid. Additional water is layered on top of the mer- cury. What ratio of the total volume of the object is below the mercury-water level? (Assume that finally the object is totally…
"During the peak of the summer period in Sohar, an oil truck loaded 80,000 liters gas. On the way t0 Buremi to deliver the gas product, the temperature dropped due to cold weather where the temperature was 24 K lower than Sohar: Determine how many liters the oil truck delivered Take the…
'Explain briefly the principle of operation of APD photodetector. What are the main parameters tO consider in selecting photodetectors?'
An infinitely long wire located along the z-axis is carrying current I as shown in the figure. A square loop of height h and width b is located in the y-plane. The current in the wire is time-varying and is given by I = I0cos(ωt). (a) Calculate the total magnetic flux linkage through the…
Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive X-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive X-axis. With what tension and direction (with respect to the positive X-axis)…
The lawn mower shown in Fig. weighs 35 lb. Determine the force P required to move the mower at a constant velocity and the forces exerted on the front and rear wheels by the inclined surface: J0" I41: 13i 3in
An electron (mass = 9.11 x 10^-31 kg) leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, which is 2.70 cm away. It reaches the grid with a speed of 3.30 x 10^6 m/s. If the accelerating force is constant, compute: (a) the…
#17) An eagle is soaring at 10.0 m/s horizontally with a fish in its beak. Then the fish is accidentally dropped. The eagle continues horizontally for another 30.0 m before diving to recover the fish when the fish is 50.0 m above the ground. (a) How long is the free fall of the fish? (b) How…
'Q2) Explain the working of zener diode on both forward and reverse bias. From the circuit in the Figure-2, Rs-IKO, Vz-7.ZV and R-3KO. If Vs = 12V. Find out the following DC parameters: Is = ? , Current passing through resistor Rs Il = ? , Current passing through resistor Rl Iz = ? , Current…
A 500-kV 60-Hz three-phase transmission line is 393 km long. The series impedance is 0.6+j0.4 Ω per phase per km and the shunt admittance is y = j5*10^-6 Siemens per phase per km. If the transmission line is compensated with a parallel compensation factor of 70%, the value of the inductor that…
81 A circuit includes an array of capacitors arranged as follows: Two 1µF capacitors are in parallel with each other, and this pair is in series with 3 capacitors of 10µF, 15µF, and 1µF. This whole array is in parallel with one 1µF capacitor in series with 4 pairs of capacitors, one being…
0 = 7 % + √Ve +' a) Determine the missing particle in the box. Fully justify your choice based on all relevant conservation laws. b) Determine which of the four fundamental forces is most likely responsible for this decay. Fully justify your answer. [HINT: Note the quark…
'What is diffusion? How is the cell membrane involved in this process? ~How are endocytosis and exocytosis related the the cell membrane as well?'
A door stopper spring is held at an angle from its equilibrium position and then released, and the angular velocity of the plastic end is given by the function: -0.2tω(t) = 3e cos(7t) 1. Find its angular acceleration function α(t). 2. Find its angular displacement function θ(t), assuming…
A Corvette leaves the pit area of the racetrack and enters the main speedway with an initial velocity of +24.0 m/s and accelerates at +6.00 m/s². At the instant he enters the speedway (no time delay), a Porsche moving at a constant velocity of 70.0 m/s overtakes the Corvette and passes him.…
'R vs L - AWG 21 350 300 0 250 200 150 ] 100 50 20 40 60 Lenght (m) 80 100 Discussions:'
Module 1: Motion Assignment Booklet Use the following information to answer questions 5 to 8. Two smart cars depart from the same starting location (A) at the same time and travel different paths to the same destination (B), arriving at the same time. They have travelled different distances but…
A car is moving along a horizontal road (x-direction) at an initial velocity of 40.0 m/s. The driver decides to accelerate to a velocity of +80.0 m/s as he drives over a displacement of 200 m. How much time elapses while the car is accelerating over the displacement? (Consider the acceleration)
Module 1: Motion Assignment Booklet Use the following information to answer questions 5 and 6. Position in a horse race can be illustrated with vector arrows drawn from the starting point to the current location. The diagram below illustrates several position vectors drawn at various times in…
Title: Energy Conservation in Alpha Decay Location Our space is far from all other objects. The nucleus, whose mass is 8.35260225 kg and which is initially at rest, undergoes spontaneous alpha decay. The original nucleus disappears and particles appear: a He-4 nucleus of mass…
Given the following equation, verify if it is dimensionally correct: 0.12D = A Variable SL unit D (Drag Force) kg m/s² (speed) m² (area) g (acceleration) m/s² YES NO kg/m³
"45' Determine the tension in the two ropes attached to the rigid supports in the systems shown in Figure below, if the supported blocks are in equilibrium: 60' 10n"
Hypodermic needle is 3 cm long and 0.3 mm in diameter. Determine the excess pressure that is required along the needle for the water flow through the needle to be 1 L/s. Consider μ = 1.005 x 10^-3 Pa·s. 151.723 MPa 251.723 MPa 351.723 MPa 451.723 MPa
The unstretched length of spring AB is 5 m. If the block is held in the equilibrium position shown, determine the mass of the block at D. Note that the spring constant for spring AB is 40 N/m and for spring AC is 30 N/m.
'If a starhas surface temperature of 9500K. What would be the frequency of the light given off at the peak wavelength; in Hertz?'
CHAPTER 3 Complex Differentiation 3.50. (a) Prove that the function f(z) = u(x, y) + iv(x, y) is harmonic. (b) Find a function such that f(z) = z + i is analytic. Find the conjugate function of u(x, y). (c) Express f(z) in terms of u(x, y) and v(x, y).
Cauchy-Riemann Equations 3.47. Verily that the real and imaginary parts of the following functions satisfy the Cauchy-Riemann equations and thus deduce the analyticity of each function: (a) f(z) = 2 + √z + 3i (b) f(z) = z^e (c) f(z) = sin(2/3).
'If a starhas surface temperature of 9500K. What would be the frequency of the light given off at the peak wavelength; in Hertz?'
Problem #12: The intensity of sound wave A is 100 times that of sound wave B. Relative to wave B, the sound level of wave A is: a. -2 dB b. +2 dB c. +10 dB d. +20 dB Problem #13: A source of sound emits 5.0 mW of acoustic power uniformly in all directions. Calculate the intensity of this…
'Jg 1 1 2 8 ! 1 [ 1 9 W 1 K 2 8 1 9 N 6 1 1 32 2 2 1 1;1 5 1 18 1 03 1 8 3'
'According to an observer at Earth's equator; what is the wavelength of the light that is sent by an astronaut at geosynchronous orbit &" using a 488.00 nm Ar-ion laser?'
'distant star has a peak wavelength of 0.00000077. What is the temperature ofthat star?'
'Problem 4: An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45" North of East; F2 = 750 N @ 30* West of North and F3 400 N @ 30: South of West Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium Ignore the…
Q. 39 A satellite of mass (m) revolves around the earth of radius (R) at a height (h) from its surface. If (g) is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is: (a) gh (b) R-h (c) R+h (d) R+h
'close to Q 40 A satellite is moving very time period of the planet of density (9). The satellite is 31 (a) PG 30 V3 (c) PG_ 31 (b) 2 pG 37 (d) 2 pG'
A 0.260 kg particle moves along an x-axis according to x(t) = -13.00 + 2.00t + 2.00t^2 - 6.00t^3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.40 s? Give an expression for the (a) x, (b) y, and (c) z components.
"An insulating solid sphere of radius R has a variable volume charge density: Po 0 where b and p0 are constants Each part is worth 5 points a) Find the total charge on the sphere b) Use Gauss's law to find the magnitude of the electric field at a point inside the sphere r<R) c) Similarly…
1. Re-write the following measurement results in their clearest form, with suitable numbers of significant figures. 0.611 x 10^3 + 39T 4.902 x 10^-5 15.284 x 10^-3m 5867.22 + 0.89151 A d) 5.410 = 1.329 F e) 0.000031766 = 0.000000096 $
'Briefly describe two physical properties of a light source that light can tell us when considered as a wave?'
A block of mass 2.0 kg is placed on a horizontal surface. The coefficients of static and kinetic friction between the block and floor are μs = 0.5 and μk = 0.3, respectively. A second block of mass 5.0 kg is placed on top of the first block. The surfaces of the blocks are really rough. A…
A particle moves in a straight line with a constant acceleration of 24 ft/s² for 6 s, zero acceleration for the next 4 s, and a constant acceleration of 14 ft/s² for the next 4 s. Knowing that the particle starts from the origin and that its velocity is 28 ft/s during the zero acceleration…
A total charge Q is uniformly distributed around a ring-shaped conductor with radius a. A charge Q is located at a distance x from the center of the ring (see figure). The force exerted on the charge by the ring is given by: F = (k * Q * q) / (a^2 + x^2) where k = 8.85 * 10^-12 Nm^2/C^2, Q =…
'Problem 3. Charge Metal Rod An isolated very long metallic rod with a uniform circular cross section of radius 0.55 mm has a constant charge per unit length of 2.25 10-8 Clm: Find the electric field magnitudes at distances 0.25 mm and (6) 0.75 mm. from the longitudinal axis of the rod:'
"You are standing on Jupiter's Moon Europa and you have a bowling ball and a soccer ball of the same diameter: a) When dropped from the same height; which would reach the ground first? b) How would the time it takes an individual ball to reach the ground be different on Earth? c) If you had to…
'Problem 2. Concentric Insulating Spheres. An insulating solid sphere, of radius with a uniform volume charge density p > 0, is placed concentric with an insulating spherical shell, of inner radius and outer radius with uniform volume charge density ~p. Calculate the electric field at…
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
Problem: Exponentially Decaying Charge Density. A spherically symmetric charge distribution is described by volume charge density given by p = Po*e^(-r/a), where Po and a are both positive constants, and r is the distance from the center of the distribution. (a) Determine the electric field at…
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
Problem 1 How long does it take a P-wave to travel 2,000 miles? 2. How long does it take an S-wave to travel 2,000 miles? 3. How long does it take a P-wave to travel 1,800 miles? 4. How long does it take an S-wave to travel 800 miles? 200 2,500 300 MSTLHCI FpICiATFB
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
'An electromagnetic wave propagating in ossy medium is characterized by its electric field EWen by 300e ~oot sin(3 < 10'5t 10"z E(Z,t) (V /m) where is the dustanee (TVelled by the Wave melers_ Determine () the direction of WAVe travel: (6) Ihe reference phase Wo. (€) the phase velocity Up and…
A THERMAL FLUX OF 6x10^6 STRIKES cm/sec. The two materials as shown below: 181 Mn Ta DEFECTOL Gcn A) CALCULATE THE FLUX MEASUREMENT AT THE DETECTOR. B) FOR ABSORPTION OR SCATTERING? LOST DUE TO SCATTERING, THERMAL, EPITHERMAL, AND FAST NEUTRONS. 3.3 x 10^19 ABSORPTION Nrss. 13. Ta IgI a1
Use Newton's law of gravity to calculate the force of gravity between: a) The Earth and the Moon. b) The Earth and the Sun. c) A 93 kg person and the Sun when the person is the same distance from the Sun as the Earth. Note: For the calculations, please image your work and upload it to the…
'A THERMAL FLux OF 6x IO STRIKES Cm"sec The Two MateR IALS As SHOwN BELOW _ 181 Mn Ta' DEFEcTOl Gcn A) CALCULATE THE FLux MEASUREMENT At The DETEC ToR THE SYSTE M ARE MORE NEUTRoNS B.) FOR To ABeoRPTTON QR SCATT ERTNC ? Lost DUE ExPLAN: ScATTERING THELML EPITHERML 3.3 1A99 ABSORPTION Nrss…
'A THERMAL FLux OF 6x IO STRIKES Cm"sec The Two MateR IALS As SHOwN BELOW _ 181 Mn Ta' DEFEcTOl Gcn A) CALCULATE THE FLux MEASUREMENT At The DETEC ToR THE SYSTE M ARE MORE NEUTRoNS B.) FOR To ABeoRPTTON QR SCATT ERTNC ? Lost DUE ExPLAN: ScATTERING THELML EPITHERML 3.3 1A99 ABSORPTION Nrss…
'Consider a system of 2 6-sided dice where the sum of the dice is the macrostate: What happens to the entropy of the 7 macrostate if you add a third 6-sided die?'
An ant walks on a piece of graph paper straight along the X-axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.40 s. Determine the…
Q. No 05: One end of an aluminum wire whose diameter is 2.5 mm is welded to one end of a copper wire whose diameter is 8 mm. The composite wire carries a steady current of 1.3 A. What is the current density in each wire? Q. No 06: You are given the length of a heating wire made of…
The electric potential, relative to infinity, of a certain charge distribution with a total charge of Q is given by V = 4ta, where a is a positive constant. The corresponding electric field is given by (Derive).
Assuming the earth to be a sphere, calculate the moment of inertia about its own axis. The angular velocity of the earth is 7.3 x 10^-5 rad/sec. Calculate the kinetic energy of rotation of the earth. (R = 6.4 x 10^6 m; M = 6 x 10^2 kg).
'Determine the actual area of the irregular figure and its individual interior angle_ Sm 5m E 8m 5.5m 6m 4m A 5m'
Q. No 08: A parallel plate air capacitor having an area of 50 cm² and a spacing of 1.5 mm is charged to a potential difference of 625 V. (a) Find the capacitance; (b) the magnitude of charge on each plate; (c) the stored energy; (d) the electric field between plates, and (e) the energy density…
"An ant walks on a piece of graph paper straight along the X axis a distance of 10.0 cm in 2.20s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.40s. Determine the y…
'Q. 43 A solid sphere is rotation in free space: If the radius of the sphere is increased by keeping mass same, which one of the following will not be affected ? (a) momentum of inertia (b) angular momentum (c) angular velocity (d) rotational kinetic energy'
'47 : The moment Of inertia Of 4 thin uniform Q. of length L ad mass m rod about an axis 1 point at distance of ! from its through 3 one (b'
'Ex. 47 A disc of mass 2 kg and circular diameter 0.2 m is rotating about an axis passing through its perpendicular to its centre and plane. If it performs 120 revolutions per minute, calculate its rotational kinetic energy:'
'Two circular discs A and B have Q 6 equal and uniform thickness but massed have densities (01) and (pz) such that p1 > Pz: Their moments Of inertia is. (a) I1 > Iz (b) I1 >> I2 (c) I1 < I2 : : (d) I1 = I2- " '
A needle of sewing machine moves in 4 path 0.06 I long and makes 20 oscillations in 1 second. What is its displacement in 20 second after passing through the centre of its path:
'Q. No 01: Prove that "An excess charge added to the isolated conductor moves entirely to its outer surface None of the excess charge is found within the body of conductor" Q. No 02: An electrometer is a device used to measure static charge. Unknown charge is placed on the plates of a capacitor…
EX: 49 A particle performing SHM has a period of 6 seconds and its maximum velocity during oscillation is 6.28 cm/s. Find the time required by it to cover a distance of 3 cm.
'Ex 9 : A particle executes SHM with amplitude of 10 cm and period of 10 $. Find the velocity i) acceleration of the particle at distance 5 cm from the equilibrium position.'
Projection Angle Max. Horizontal Max. Vertical Displacement Displacement 25 degrees 3.9m 0.91m 40 degrees 5.02m 2.11m 45 degrees 5.1m 2.55m 50 degrees 5.02m 2.99m 65 degrees 3.9m 4.19m 70 degrees 3.28m 4.5m 80 degrees 1.74m 4.94m
'Determine the resultant moment about point A of the system. Each square is 1 ft on a side: 80 Ib 80 Ib 100 Ib 100 Ib 100 200 Ib'
"Q 12 In SHM. path length is 4 cm and maximum acceleration is Zv' cm/s'. Time period of motion is (a) 2 $ 4 $ (b) (d) V2 s 1/2 $ (c)"
'Ex. 10 A body describe SHM in a path 0.12 m long: Its velocity at the centre of the line is 0.12 ns. Find the period, also find magnitude of velocity at a distance V3 x 10 2 m form the central position.'
Problem Assume two adjacent interstellar gas clouds with known thickness d1 and d2 found in front of an astronomical light source. Suppose that this source emits a beam of radiation with known specific intensity [@] as it enters the first cloud of interstellar gas. Calculate the specific…
'(Aluminum) Density-2,70Ckolm" Spaed Z0umisec (Water) Density= 1,OOkalm Speed soom(sec P=10] pE and pt is power here Part a `- Wave propagating an aluminum block surrounded by water (you can consider Material 1 as aluminumand Material Water). The pressure amplitude ofthe incident wave 1ON/m?…
'Q 13 Time period of pendulum is 6.28 sec and amplitude of oscillation is 3 cm. Maximum acceleration of pendulum is (a) 8 cm/s? (b) 0.3 cm/s? (c) 3 cm/s? (d) 58.2 cm/s?'
'1-Wp solar panel has an efficiency of 15% and costs $1.50. It costs another $L.50 to install and it is projected to last 25 years_ Assume it receives peak sunlight 30% ofthe time. How much does the electricity it produces cost per kWh? What is the energy payback time if the local energy coss…
[3] A particular geometric object in 3D Euclidean space is defined by the equations: x^2 + 2y - 2 = 0 y = 2 + 1 Describe the geometric object in question: (b) What is the closest that this object gets to the point (x,y,z) = (2,1,2)?
The position of particle p is defined using polar coordinate system r, θ such that θ = (3/1) sin (nt), r = 6 (1 - e^(-2t)), where θ and r are expressed in radians, inches and seconds, respectively. When t = 1 s, determine the velocity and acceleration of p.
The picture shows a heavy ball held in the palm of a hand. The mass of the ball M is 7.5 kg. The lower arm is horizontal and is held by the force from the bicep muscle in the vertical upper arm. Given that the mass of the lower arm is 2.0 kg, what is the magnitude of the force of the bicep…
Which two spectral types were added to the spectral sequence after 1998? K and M for late-type stars and L and T for brown dwarfs. Y and Z are not valid spectral types.
PROBLEM 04: The resultant of the concurrent forces shown. Force 0 of 60° directed. Determine the unknown force.
'The velocity of a particle is shown in the graph below: Take note that at t=0, s-0_ Draw the a-t and s-t graph of the particle v(t), m/s 6 t,seconds 3 -4'
A force of 550 N directed towards the right and another force of 300 N have vector forces. What must be the magnitude and direction of the third vector force in the system of three forces to have a resultant?
'hot-air balloon is rising upward with a constant speed when passenger drops a camera. The camera took 3.2 s to reach the ground a) Ifthe cameras speed is 26 m/$ just before it lands Find the cameras initial velocity? b) How far was the camera from the ground when it was dropped?'
PROBLEM 02 magnitude of whose resultant. Find the angle between two vector forces whose magnitudes are F and 3F and the
'Q2. (a) Starting with the assumptions made, show that according to Einstein s theory of specific heat of solids, at very low temperatures C varies exponentially with temperature T _ (b) Explain why the contribution of free electrons to the total specific heat of a metallic solid is…
'hot-air balloon is rising upward with a constant speed when passenger drops a camera. The camera took 3.2 s to reach the ground a) Ifthe cameras speed is 26 m/$ just before it lands Find the cameras initial velocity? b) How far was the camera from the ground when it was dropped?'
"campus bird spots a member of an opposing football team in an amusement park The football player is on a ride where he goes around at angular velocity W at distance from the center. The bird flies in a horizonta circle above him. Will dropping the bird releases while flying directly above the…
A small sphere attached to light rigid rod rotates about an axis perpendicular to and fixed to the other end ofthe rod Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is…
03. Gerry & Knight Ch.2 2.3 Use The Baker-Hausdorff formula to show that the time dependence of the annihilation operator is a(t) @(0)e^(iwt) 05. Gerry and Knight Ch.2 2.6 Consider the superposition state |wbo1) = a|o) + B|1) where a and B are complex and satisfy |a|^2 + |B|^2 = 1. Calculate…
Snowballs are thrown in a direction 340° above the horizontal from a roof. It took 2.4 s for the snowball to land on the ground, x = 23.6 m from the initial position (see figure). a) Find the initial speed of the snowball. b) What is the direction and absolute value of the snowball's…
'7.7 As an example of the cxplicit construction of a potential determined by the density; find the onc- dimensional potential V (x) that gives the density Aexp( ax2) , where normalization constant A is chosen SO that the density corresponds to one electron. Express the answer in terms of &.'
The particle's path can be defined by y = x^2. At x = Zm, Vx = Zm/sec, and ax = Zm/sec^2. Vy and ay at x = 2m will be Vy = 8m/sec and ay = 8m/sec^2.
'Spherical surface charges (Q and -Q) have radius of b and a, respectively. Please determine: (a) The E field and (b) the potential at point P(r, 0, 0) for all values of r b'
'21.10 Three point charges are located as shown in the diagram a) What is the electric field at point P 8.2 HC X = 40 cm; y = 0) due to the three charges? b) If a 5 AC charge 30 cm placed at point P, what is the force on the 5 UC charge due to the other 6.7 HC - 3 charges? 30 cm 8.2 uC 40 cm'
'(1) Based on Bohr model assumptions, prove that the wavelength equation of the hydrogen emitted radiation is given by 1 Ru 0-4 Answer'
"(1) Based on modified Bohr's model of hydrogen atom;, prove that the total energy is given by: -13.622 En eV n2 Answer"
'(2) Find the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from n; = 4 to nf = 1. (Ru = 1.097 x 10-34-1) Answer'
'(2) Determine, the shortest and longest wavelengths of the Balmer series of hydrogen_ (Ru 1.097 X 107m-1) Answer'
'10) If a cyclist is going around curve at constant speed, is he accelerating? If so, what is the direction of his acceleration, and how the direction is related to velocity? Explain using a graph for full credit:'
Given the function f_1(x) = e^x + sin(x) and the equation V - e^(-y^2) = 2Wka + the gradient of the function A : VV b f c +L day s A fic + cer (of A 8 ) fica +Ke Laplacian sF V
You are driving to the store at a constant velocity of 60.0 km/h East when you see a squirrel run into the middle of the road. It takes you 200.0 ms for you to react and to begin applying the brakes. Once you start braking, you accelerate uniformly to rest in 2.00 seconds. Sketch the…
Explain what has happened to the number of elements in the universe over time (beginning with the big bang up to the present day). Now, based on your explanation, draw a graph that illustrates the number of elements in the universe as a function of time (beginning with the big bang up to the…
'Fill-in-the-blank: If the width of the barrier doubles; everything else being the same_ the tunneling current will (increase Or decrease? ) by factor of If the work function @ decreases by factor of two, everything else being the same, the tunneling current will (increase or decrease?) by…
'18. Find the Resultant Force using a Graphic Method 26 300 = C= 158 16 For extra credit;, verify with analytical method'
06: Why must a GM tube for detecting α-particles have a very thin end window? Why does a GM tube for detecting γ-rays not need a window at all? 07: If you swallowed an α-source and a β-source, which would be more dangerous to you? Explain why? 08: Why is a short-lived α-particle more…
Vo = 309 m/s 10 m 10 m 20 m Find the following when the projectile is at point M: 1) Total time in flight (from launch to point M) 2) Height above the ground (Dy) (Pick ground level at launch point) 3) The velocity at point M (note in a projectile the velocity is tangent to the point and will…
'For the state Iw) = 8/+) - 2i/5/-) calculate the expectation values and uncertainties for measurements of Sz, Sx and Sy'
Part D What is the amplitude of the voltage across the capacitor? Express your answer in volts: Vc = 1290 Submit Previous Answers Correct. The correct answer is shown: Your answer 1293.12 V was either rounded incorrectly in this part. Part E What is the average power supplied by the source?…
'Table l: Varying Distance Distance (m) Work (J) Photogate Time Final Velocity (mls) 1.844 40 1.263 40 1.052 40 0.908 40 0.822 40 Kinetic Energy ( 20000 20000 20000 20000 20000 10 20 30 40 50 1006 2131 3084 4151 5139'
"Ex. 8 ; The kinetic energy of the earth is 2.6 1029 and its angular speed is 7.27 X 10 5 rad/s. Then calculate its moment of inertia. {(' . 0?"
'What IS the magnitude and direction of the resultant In the sketch below? 99 12 379'
"Q. 56 If the density of the earth is doubled by kipping its radius constant, then the new acceleration due to gravity will be (B = 9.8 mls') (a) 19.6 m/s? (c) 39.2 m/s? (b) 4.9 mls? (d) 9.8 mls?"
Given the following vibration signal f(t) = Asin(wt), determine the fundamental frequency for this periodic function. Set up the integral for Ao without solving. Which, if any, of the Fourier coefficients are zero? Open Question f()
A 10.0 kg block sliding on a frictionless horizontal surface at 7.00 m/s hits a spring that is attached to a wall. The block compresses the spring and momentarily comes to rest. The spring has a spring constant of 5000 N/m. a) What is the net work done on the block? Identify the force(s) doing…
'E =25x 103 N/c. (1.0) 0=0.10 m 1352'
'An experiment is carried out with monoenergetic photons in the "good" geometry shown in Fig: 8.7. The relative count rate of the detector is measured with diflerent thicknesses x of tin used as absorber The following data are measured: (cm) 0.50 1.0 15 20 3.0 5.0 NaRROW BE AN O}a…
Solve the geodesic equation for a 2-dimensional space with the metric dl = R^2(dθ^2 + sin^2θ dφ^2) and interpret the curves.
A 40.0 kg crate is on a horizontal surface. The coefficient of static friction is 0.400 and the coefficient of kinetic friction is 0.310. There are two forces applied to the crate, due to Mark pulling directly upward on the crate with a force of 285 N and Cynthia pulling the crate to the right…
A skier starts from rest on the 438 slope at time t = 0 and is clocked at t = 245s as he passes a speed checkpoint 18 m down the slope. Determine the coefficient of kinetic friction between the snow and the skis. Neglect wind resistance.
The net work of a cycle (where the system returns to the same state as it started) can be found from the P-V plot by: - calculating the area of the region enclosed by the path - calculating the area under the max of the path - calculating the area under the min of the path (Pavg * Vavg) * 5/9 +…
Determine the capacitance and tolerance for the capacitors shown in the figure below.
'Ex. 74 Calculate weight of body of mass 20 kg a5 depth half way to centre of 4t earth. (g = 9.8 m/s?)'
Q. 56 If the density of the earth is doubled by keeping its radius constant, then the new acceleration due to gravity will be (g = 9.8 m/s²) (CET-2010) (a) 19.6 m/s² (b) 4.9 m/s² (c) 39.2 m/s² (d) 9.8 m/s²
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