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Physics 101 Mechanics Q&A Archive of May 18, 2023

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May 18 of 2023

1. a) Describe how Erastothenes measured the circumference of our planet. b) If the angular diameter of an object is 15 arc seconds and it is 1.4 billion kilometers away, how big is its physical size? Show how you arrived at your answer. 2. Suppose it is the first day of autumn in…
FIGURE P19.62 shows a thermodynamic process followed by 120 mg of helium. a. Determine the pressure (in atm), temperature (in °C), and volume (in cm') of the gas at points 1, 2, and 3. Put your results in a table for easy reading. b. How much work is done on the gas during each of the three…
The rotational damper shown consists of a rotating disk B inside a fixed housing C. A viscous fluid occupies the space between B and C. Given d1 =0.300 m, d2= 0.304 m, a1=0.050 m, a2= 0.051 m, µ=0.24 N.S/m2 , and ρ=850 kg/m3 , find the torsional damping constant
I need help with this question
Question: 4 single forces and a moment of \( 11 \mathrm{kN}-\mathrm{m} \) are applied to the beam, whose \( \mathrm{A} \) end is concreted to a wall, as in the figure. Show the reaction moment at \( A \) end graphically according to the change of \( F 3 \) force ( \( y \) axis \( F 3 \),…
Calculate the poisson bracket of H where H = T+V
a ball of mass 0.1kg is thrown vertically upward with a speed of 10 mls,from the top of the tower 10mhigh
ta tapor 's 6 whing - Mumeqti Fribita toes Aepor 1 is \( = \) Per Bupren
A mass of \( 12 \mathrm{~kg} \) rests on a smooth inclined plane which is \( 2 \mathrm{~m} \) high and \( 12 \mathrm{~m} \) long. The mass is connected by a light inextensible string, which passes over a smooth pulley fixed at the top of the piane, to a mass of \( 4 \mathrm{~kg} \) which is…
4. Particle ( mathbf{A} ) of mass ( 400 mathrm{~g} ) and ( mathbf{B} ) of mass ( 200 mathrm{~g} ) are attached to the end of a light inextensible sting. Particle A rests in equilibrium on a rough plane which is inclined at ( 30^{circ} ) to the horizontal. The string passes over a smooth pulley…
TROPICAL COLLEGE OF MEDICINE PHYSICS REMEDIAL COURSE ASSIGNMENT \( (20 \%) \) Show all the necessary steps clearly and neatly 1. Find the magnitude of the vector \( \overrightarrow{\mathbf{C}} \) that satisfies the equation \( 2 \vec{A}-6 \vec{B}+3 \vec{C}=2 \hat{\mathbf{j}} \),…
Two men are in a motorboat, the combined weight of the men, motor, boat, and equipment being \( 640 \mathrm{lbs} \). The motor exerts a constant force of \( 20 \mathrm{lb} \) on the boat in the direction of motion, while the resistance (in pounds) is numerically equal to one-half the speed (in…
sample of silicon contains 104 atomic % of phosphorus donors, which are all ionized at room temperature. The sample has an electron mobility of 0.15 m²/Vs. (Silicon has an atomic weight =28, and density = 2300 kg m-3. Calculate the electrical resistivity.
15-16. A gas exerts a pressure of one atm at standard temperature ( \( 273 \mathrm{~K}) \). What must the temperature be adjusted to for the gas to exert a pressure of \( 4.00 \mathrm{~atm} \) ? A. \( -205^{\circ} \mathrm{C} \) 15. Given: \( P_{1}= \) B. \( 68.3^{\circ} \mathrm{C}…
(12) Show that the path of a point P, which possesses two constant velocities \( u \& v \), the first of which is in fixed diriction and the second of which is perpendicular to the radius op drawn from a fixed point \( O \), is a Conic with focus at \( O \) and eccentricity u/v.
6. A 2050 kg car attempts an unbanked curve with 40.0 m radius at 22.0 m/s. a. Draw a free body diagram for the car.
In many new science fiction movies large space ships simulate gravity by make very large cylindrical vessels that rotate at correct speeds. If one such space ship has a radius of R = 62.1 m, how many revolutions per hour does it need to make so that the passengers feel the proper simulation of…
Colculate the speed of In ain sound in air at \( 30^{\circ} \mathrm{C} \). (bpeed of sand at \( 0^{\circ} \mathrm{C} \) in \( 331 \mathrm{~m} / \mathrm{s} \) ).
<Chapter 9 (Easy question) - Attempt 1 Problem 9.21 2 of 2 At the end of a delivery ramp, a skid pad exerts a constant force on a package so that the package comes to rest in a distance \( d \). Part A When the pad is replaced by one that requires a distance of \( 9 d \) to stop the same…
An object of 12kg mass is dragged by 60N force with a constant speed on a level surface with friction. Find the coefficient of kinetic friction.
(1) A truck's velocity on a straight highway incrences uniformly from \( 15 \mathrm{~km} / \) the to \( 60 \mathrm{~km} / \mathrm{hr} \) in 20 seconda. Detormine: a.) The nerage speed in kmitir to mis i) The acceteration in \( \mathrm{mls} \) c.) The distance tonveled this period
4. \( (25 \) points \( ) \) \( \varepsilon_{0}, \sigma=0 \) Depth \( d \) A resistor is formed in the shape of a circular cylindrical half-shell of inner radius \( b \) and outer radius \( a \) and is composed of two materials with ohmic conductivities and permittivities \( \left(\sigma_{1},…
b) A \( 250 \mathrm{~m}^{3} \) of storage tank which contains pure methane is to be switched to propane. Propane is fed to the tank at a rate of \( 5 \mathrm{~m}^{3} / \mathrm{min} \). Batch is withdrawn from the tank at the same rate. All the gases are at \( 27{ }^{\circ} \mathrm{C} \) and…
3. When a diatomic molecule with bond length \( d \) undergoes a rotational transition from \( \mathrm{l}=2 \) state to the next lower state, it gives up a photon with angular frequency \( \omega \). When the molecule undergoes a vibrational transition from one energy state to the next lower…
The approximate value of rho ^ - 0.25 by Linear Lagrange's interpolation with e ^ 0 = 1 and is e ^ - 0.5 = 0.60653
1. How many subshells are in the \( n=3 \) shell of an atom? Identify each subshell. Calculate the maximum number of electrons that can be in these subshells. Verify that the maximum number of electrons that can be in the \( n=3 \) shell is equal to \( 2 n^{2}=18 \).
1. Which of the following tools is used in sharpening tooth cutting tools? A. electric grinder B. oilstone C. sandpaper D. triangular slim taper file 2. Which of the following is the correct procedure in sharpening edge- cutting tools? A. grinding - honing- whetting B. grinding - whetting-…
(e) A brass plug has a diameter of \( 10.000 \mathrm{~cm} \) at \( 150^{\circ} \mathrm{C} \).At what temperature will the diameter be \( 9.950 \mathrm{~cm} ? \) The coefficient of linear expansion for brass is \( 19 \times 10^{-6} /{ }^{0} \mathrm{C} \) ? \( [4] \)
photon of energy \( h v \) collides with a stationary electron of rest mass \( \mathrm{m} \). Show that it is not physically possible for the photon to impart all its energy to the electron.
A charge of 5 micro coulomb is shifted thom the center of the cube by \( 3 \mathrm{~cm} \). Length of the cube is \( 8 \mathrm{~cm} \). What will happen to the flux passing through 1 surface closest to the new position of charge? Depends on the shortest distance between charge and the…
it is in the picture below
In the circuit shown in Fig.6 determine the current in the 3Ω resistor using source transformation method?
4 (i) Sketch a generalised polar diagram for a typical airfoil wing, indicate and briefly discuss the most important points of the diagram and angles of attack. (ii) A small aeroplane has total mass of 750 kg and is fitted with a NACA 2409 rectangular airfoil wing of 2.5 m chord and 15.0 m…
The largest submarine ever built, of the Soviet “Typhoon” missile-launcher class shown below in Figure 2, has the displacement volume of 48000 m3 and length 175 m. For the purpose of this problem it can be regarded as a cylinder with a round (solid hemisphere) nose. The maximum operational…
A liquid fuel rocket motor is fuelled with hydrogen and oxygen. The combustion chamber temperature and absolute pressure are 3300 K and 2 MPa, respectively. The nozzle is to be designed to expand the exhaust gases isentropically to a design outlet pressure of 5.53 kPa (abs), corresponding to…
A very long string with linear density 3.0g/m is stretched along the x-axis with a tension of 6.1N. At x=0m it is tied to a 126.1Hz simple harmonic oscillator that vibrates perpendicular to the string with amplitude 4.1mm. The oscillator is set to a maximum positive displacement at time t=0s.…
(1) Sketch the boundary layer, velocity profiles and pressure outside the boundary layer developing in flow around a circular cylinder or a sphere and discuss the phenomenon of separation of boundary layer as well as measures that can be taken to delay this separation. (ii) Calculate the…
Einstein's postulate that concerns the speed of light is that rulers and clocks cannot be used to measure the speed of light nothing can travel faster than the speed of light all uniformly moving observers measure the same speed of light the speed of light is defined as 3.00 E8 miles…
Answer the following questions below. Show your solution if possible. Then justify your answer 1) Scientists are developing automated robots for underwater surveying. These undersea vehicles will be guided along by sonar and cameras. If \( \triangle N P Q \) represents the intended course for…
d^2x/dt^2+dx/dt+3x=0 show the system shown by the above equation is an under damped oscillator? Calculate its damped angular frequency
II. Match Me, l'm Fallen! Directions: Match column A to column B by writing the correct answer on a separate sheet of Paper.
ANS ASAP
Question C14 A 1m? tank of air at 25 °C and 400 kPa is connected through a valve to another tank containing 4 kg of air at 40 °C and 350 kPa. The valve is opened and the system allowed to reach thermal equilibrium with the surroundings at 20 °C. Assuming air to be an ideal gas, and using…
An object of mass m is thrown vertically upward from the earth's surface with speed vo, find the position at any time
may you please create 20 challenging questions on rigid body kinematics in Mechanics with solutions?
A storm system moves 5000 axaple degrees North of East for \( 1500 \mathrm{~km} \) due east, then shifts course at 40 displacement
A light ray travels from air into water at an angle of incidence of 30 degrees if the index of refraction is 1.33 what is the angle of refraction"
4. Reílecting telescopes make use of a concave mirror, in place of the objective lens, to bring the distant object into focus. What is the magnifying power of a teiescope that has a mirror with \( 250 \mathrm{~cm} \) radius and an eyepiece whose focal length is \( 5.0 \mathrm{~cm} \) ?
What is not an assumption of the kinetic model of an ideal gas? A. Attractive forces between molecules are negligible. B. Collision duration is negligible compared with time between collisions C. Molecules suffer negligible momentum change during wall collisions. D. Molecular volume is…
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a calorimeter containing first 40g and then 100g of water is heated and suspended in the same constant temperature enclosure. it was found that the time taken to cool from 50 degree celcius to 40 degree celcius in the two cases are 15mins and 33mins respectively. calculate the water equivalent…
Complete the information needed in table below about the Earth's motions. \begin{tabular}{|l|c|c|c|} \hline Time to complete the motion & ROTATION & REVOLUTION \\ \hline Direction of motion & 24 hours & \( 365 / 2 \) & deys \\ \hline Reference point for movement & & \\ \hline Effects of motion…
The mass of copper atom is \( 1.06 \times 10^{-25} \mathrm{~kg} \), while the density of copper is \( 8920 \mathrm{~kg} \mathrm{~m}^{-3} \). Find: (a) The number of copper atoms per \( 2 \mathrm{~cm}^{3} \) of copper (b) How many copper atoms can fit in a copper wire of radius \( 1 \mathrm{~mm}…
3.6. Following are several \( z \)-transforms. For each, determine the inverse \( z \)-transform using both methods-partial fraction expansion and power series expansion-discussed in Section 3.3. In addition, indicate in each case whether the Fourier transform exists. (a) \(…
A person sees a girl in his car’s rear-view convex mirror which has a radius of curvature equal to 2.00 m. The girl is 5.00 m from the mirror and is approaching 3.50 m/s. How fast is the image of the girl moving relative to the mirror?
8. Mixlure of colfium carhanate and Fatchim aside andlyped uoing tan leshnigue ta ourve al thes indibate that there ita maiag change from 146 is ish to \( 115.4 \mathrm{mg} \) bet 7 soo = 400 'C r culecilate it of eare! in sample (fnos 54.8.1) is
QUIZ \# 4.2 SOLVE THE FOLLOWING PROBLEM USING THE FORMULA BELOW. Gravitational Potential Energy \[ P E=\underline{m g h} \] Elastic Potential Energy \[ G P E=\frac{1}{2} m g h \] where \( G P E= \) Gravitational Potential Energy \( m= \) mass \( g= \) acceleration due to gravity \( \quad 9.8…
A two-branch duct system of circular duct id shown in Fig.6-20. Design the duct system using the velocity method. Take the velocity of air in the main duct as 6.5 m/s and for the branch duct as 5/m/s. The temperature of air as 10 C. Assume a dynamic loss coefficient of 0.3 for upstream to…
a. If a girl is running along a straight road with a uniform velocity \( 1.5 \mathrm{~m} / \mathrm{s} \), find her acceleration.
1 Forie and Maien 7. Wimerios Probleris. 4. If \( Q \) gin is rarining alang a sta inhi it \( Q \) and is rarining alany a stra fit her accolerefioh sole Griet.
Performance Task 1: Kirchhoff's Law - Problem-solving Directions: Solve the given problem 1. Determine the current through each resistor in the circuit shown below.
If a girl is running along a straight road with a uniform velocity \( 1.5 \mathrm{~m} / \mathrm{s} \), find her acceleration.
\( B_{0} \). Explique su razonamiento. 29.16 - La corriente en la figura E29.16 cumple con la ecuación \( I(t)=I_{0} e^{-b t} \), donde \( b>0 \). Determine el sentido (horario o antihorario) de la corriente inducida en la bobina circular para \( t>0 \).
If the “bad” news that we are about halfway through the fossil fuels is wrong, and we are only one-quarter of the way through, and we end up using all of it, what would the ultimate CO2 concentration be in ppmv, extrapolating the increase so far? How many degrees would this turn into based on…
If the “bad” news that we are about halfway through the fossil fuels is wrong, and we are only one-quarter of the way through, and we end up using all of it, what would the ultimate CO2 concentration be in ppmv, extrapolating the increase so far? How many degrees would this turn into based on…
5. You hold a rope attached to a small bucket in one hand, and in the bucket is a 632 g rock. You swing the bucket so the rock moves in a vertical circle 2.04 m in diameter. a. Draw a free body diagram for the rock at the top of circle, assuming that the rock’s weight alone is not enough…
May you please create for me 20 multiple choice questions on Hooke's Law? Please provide answers also for the questions. I need it urgently. I would like challenging questions with solutions. Thank you
(C) \( 0.7 \mathrm{~kg} \) of gas at 14 bar pressure and \( 573 \mathrm{~K} \) temperature is expanded to four times of its original volume as per the law \( \mathrm{pV}^{1.3}=\mathrm{C} \). Calculate (i) the final pressure and volume (ii) work done (iii) change in internal energy (iv) heat…
May you please create for me 20 multiple choice questions on rigid body kinematics and dynamics sections with solutions? I need it urgently. I would like challenging questions because it's for their test. Please it's urgent! Thank you
1 followed by 27 zeros The distance of one of the most distant known galaxies from the earth is \( 5,10^{8} \) light years. is the distance in \( \mathrm{km} \) ? [ 1 light year \( =06 \times \frac{8}{5} \times 10^{12} \mathrm{~km} \) ]
May you please create for me 20 multiple choice questions on rotational kinematics section with solutions? I need it urgently. I would like challenging questions because it's for their test. Please it's urgent! Thank you
2. A force of 7.5 \( \mathrm{N} \) is applied to two objects as shown below. The force applied to the \( 10 \mathrm{~kg} \) object by the \( 5 \mathrm{~kg} \) object would be
If enough ice on Earth melted and resulted in 25% reflectance instead of 29.3%, what would the equilibrium temperature become, still applying the nominal 33 K GHG contribution? How much temperature rise is this compared to the equilibrium temperature at 29.3% reflection? Please show how to…
A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M iodker =14 kg which is uniformly distributed throughout its length L=9.6 m. The ladder is propped up at an angle theta =55 ∘ . The coefficient of static friction between the ground and the ladder is…
If enough ice on Earth melted and resulted in 25% reflectance instead of 29.3%, what would the equilibrium temperature become, still applying the nominal 33 K GHG contribution? How much temperature rise is this compared to the equilibrium temperature at 29.3% reflection?
I need help with this question
Calculate the poisson bracket of H where H = T+V
6. A 2050 kg car attempts an unbanked curve with 40.0 m radius at 22.0 m/s. a. Draw a free body diagram for the car.
In many new science fiction movies large space ships simulate gravity by make very large cylindrical vessels that rotate at correct speeds. If one such space ship has a radius of R = 62.1 m, how many revolutions per hour does it need to make so that the passengers feel the proper simulation of…
An object of 12kg mass is dragged by 60N force with a constant speed on a level surface with friction. Find the coefficient of kinetic friction.
The approximate value of rho ^ - 0.25 by Linear Lagrange's interpolation with e ^ 0 = 1 and is e ^ - 0.5 = 0.60653
The largest submarine ever built, of the Soviet “Typhoon” missile-launcher class shown below in Figure 2, has the displacement volume of 48000 m3 and length 175 m. For the purpose of this problem it can be regarded as a cylinder with a round (solid hemisphere) nose. The maximum operational…
A liquid fuel rocket motor is fuelled with hydrogen and oxygen. The combustion chamber temperature and absolute pressure are 3300 K and 2 MPa, respectively. The nozzle is to be designed to expand the exhaust gases isentropically to a design outlet pressure of 5.53 kPa (abs), corresponding to…
A very long string with linear density 3.0g/m is stretched along the x-axis with a tension of 6.1N. At x=0m it is tied to a 126.1Hz simple harmonic oscillator that vibrates perpendicular to the string with amplitude 4.1mm. The oscillator is set to a maximum positive displacement at time t=0s.…
(1) Sketch the boundary layer, velocity profiles and pressure outside the boundary layer developing in flow around a circular cylinder or a sphere and discuss the phenomenon of separation of boundary layer as well as measures that can be taken to delay this separation. (ii) Calculate the…
Einstein's postulate that concerns the speed of light is that rulers and clocks cannot be used to measure the speed of light nothing can travel faster than the speed of light all uniformly moving observers measure the same speed of light the speed of light is defined as 3.00 E8 miles…
A person sees a girl in his car’s rear-view convex mirror which has a radius of curvature equal to 2.00 m. The girl is 5.00 m from the mirror and is approaching 3.50 m/s. How fast is the image of the girl moving relative to the mirror?
If a girl is running along a straight road with a uniform velocity \( 1.5 \mathrm{~m} / \mathrm{s} \), find her acceleration.
5. You hold a rope attached to a small bucket in one hand, and in the bucket is a 632 g rock. You swing the bucket so the rock moves in a vertical circle 2.04 m in diameter. a. Draw a free body diagram for the rock at the top of circle, assuming that the rock’s weight alone is not enough…
May you please create for me 20 multiple choice questions on rotational kinematics section with solutions? I need it urgently. I would like challenging questions because it's for their test. Please it's urgent! Thank you