Practice Test: AP Physics C Mechanical Energy

Unit Plan Practice Test Study Guide

Online Quiz - Mechanical Energy                                                                 Q87BD-4453

                          Practice  Test Mechanical Energy
    Assume magic land conditions on all problems unless stated otherwise. In other words there is no air resistance or friction.
    Indicate the best answer:
1 ) Bill throws a rock straight up at a velocity = 10 m/s. How high does it go?
2 ) A cannon ball has a velocity of  220 m/s. It falls to earth and has a velocity of 200 m/s just before it hits. What % of the energy was lost as heat?
3 ) A 200 kg motorcycle traveling at 20 m/s and suddenly speeds up to 30 m/s. How much work was done?
4 ) Find the minimum power required for a person to drive a car at a constant speed of 30.0 m/s up a 30 degree slope. Assume the mass of the person and car = 1000 kg 
5 ) A box of mass m sits on top of a nonlinear spring which is compressed below its equilibrium point by a distance x. How high will the box go when it is released? The spring's equation is: F = kx^3.
6 ) How much work does the gravity of a planet do on a satellite as it orbits ?
7 ) Superman pushes on a box with force of 1000 Newtons. His force makes an angle of 60 degrees with the horizon. The box moves 5 meters at a constant velocity of 40 m/s. How much work is done by the friction force acting on the box. Assume no air resistance force. 
8 ) For a non linear spring Us = 7 x^3 +2x^2. Find an expression for the force as a function of x.
9 ) A nonlinear spring has the following relationship between force and displacement of the spring from its equilibrium: F = -3 x^3 - 2 x^2 - 3x. Find the amount of energy stored in the spring if it is compressed by 2 meter.
10 ) Jane attaches an unknown mass to a linear spring with a spring constant k. She measure the period of the spring and mass system a  time = T. What is the mass of the meteor?
11 ) Two large wheels move down equal slopes. One has friction and the other doesn't. Which wheel has the highest linear velocity at the bottom?
12 ) A force 6i, 7j, -2k pushes on a mass and displaces it an amount 2i, -3j, 4k. What is the change in kinetic energy for the mass?
13 ) A pendulum has a velocity of v at its lowest point. How high will it swing up in the vertical dimension?
14 ) Bob throws a rock with a mass of m off a cliff of height = h. What is the velocity of the rock just before it hits the ground?
15 ) Robin Hood fires his bow straight up to a height = h. He then fires it at a 30 degree angle with respect to the horizontal. How high does it go?
16 ) A box slides a vertical distance = h down a 29 degree slope. At the bottom it has a velocity of ( 0.64 gh )^0.5. How much energy was dissipated as heat?
    Bob is driving his scooter at 20 m/s and slows down to 10 m/s over a 5 second period. How much mechanical energy was converted to heat?



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