/ Semester 1 Review / Write all your responses on notebook paper

Surfaces A,C,D are frictionless, surface B is not.

The mass of the ball is 2 kg.

Ball’s initial, constant velocity before reaching A is 1m/s.

A / B / C / D
Length / 2 m / 3 m / 4 m / 3 m
Time / 1 s / 1.5 s / 1.5 s / 0.69 s
Instantaneous velocity at the end of the segment / 3 m/s / 1 m/s / 4.36 m/s / 4.36 m/s
  1. On which surface does the ball have ..
  2. uniform velocity
  3. uniform acceleration?
  4. Calculate the ball’s average velocity while rolling across each surface.
  5. The ball’s instantaneous velocity at the end of each segment is as follows: A: 3 m/s B: 1 m/s C: 4.36 m/s D: 4.36 m/s Demonstrate that these are the correct instantaneous velocities.
  6. Calculate the ball’s acceleration for each segment.
  7. Draw the position-time, velocity-time, and acceleration-time graph for the ball’s motion as it rolls across A to D.
  8. On which surface does the ball encounter a net force?
  9. On which surface does the ball encounter no net force?
  10. Draw a free body diagram for the ball when it rolls across surface B.
  11. Draw a free body diagram for the ball when it rolls across surface D.
  12. Calculate the net force acting on the ball while rolling across B.
  13. Calculate the net force acting on the ball while rolling across C.
  14. What is the weight of the ball?
  15. What is the normal force acting on the ball while rolling across B.
  16. Gravitational acceleration on the moon is 1.6 m/s2. Explain why it is less than on Earth.
  17. What is the weight of our ball on the moon?
  18. Somebody shot the ball into an orbit around the moon. In which direction would the force act that will keep the ball in orbit?
  19. What would happen to the ball if we could switch off moon’s gravity for a few seconds?
  20. Give one example where … a) a normal force b) gravity c) friction and d) a tension force will act as a centripetal force.
  21. What is the average momentum of the ball for each segment?
  22. On which segment does the ball’s momentum change the most?
  23. Where is the impulse the greatest? Explain.
  24. How much impulse is acting on the ball as it rolls across B?
  25. The ball elastically collides with a second ball of 3 kg mass that sits stationary on segment D. The second ball moves away with a velocity of 2 m/s. What is the velocity of the first ball?
  26. What is the kinetic energy of the ball at the end of each segment?
  27. How much kinetic energy was “lost” due to friction as the ball rolled across segment B?
  28. If segment D would be extended into an upward ramp, how high would the ball roll on this ramp?