Practice Test: AP Physics C Mechanical Energy 


Online Quiz  Mechanical Energy 

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 is shot upward at a velocity of 220 m/s. When it
eventually falls back to the same level it started from, it has a
velocity of 200 m/s. 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. Note: the box is not attached
to the spring

6  )  How much work does the gravity of a planet do on a satellite as it orbits ? zero 
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. 2500 joules 
8  ) 
For a non linear spring U_{s }= 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 1/4
meter.
U =  ∫ F_{(x) }∙ dx

10  ) 

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? The wheel with no friction because it does not rotate and hence all the change in potential energy goes into linear kinetic energy. 
12  )  A force 6i, 7j, 2k Newtons pushes on a mass and displaces it an amount 2i, 3j, 4k meters. What is the change in kinetic energy for the mass?  17 Joules 
13  ) 
A pendulum has a velocity of v at its lowest point. How high will it swing up in the vertical dimension?

14  ) 

15  )  Robin Hood fires his bow straight up to a height = h_{o}. He then fires it at a 30 degree angle with respect to the horizontal. How high does it go? 1/4 h_{o} 
16  )  A box starts from rest and slides a vertical distance = h down a 29 degree slope. At the bottom velocity = (0.64gh )^0.5. How much energy was dissipated as heat? 0.68mgh 
17  )  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? 150m, (note: m = the mass of the scooter) 
SAM TeamSouthside High School's STEM and Computer Science extracurricular club (Mr. Rogers Sponsor) Mr. Rogers Information for Teachers Mr. Rogers Science Fair Information Check out other web sites created by Mr. R: Check out Articles by Mr. Rogers: 

Mr. Rogers Home  Common Sylabus  AP Comp Sci I  AP Comp Sci II  AP Physics Mech  AP Physics E&M  AP Statistics  Honors PhysicsIB Design Tech  Southside