A person is playing pool. Initially the 8-ball is at rest. The cue ball is initially traveling toward the 8-ball at 6.85 m/s (take this direction to be the positive x-direction). For the following problem all rotation, friction, and air-resistance will be ignored. The cue ball and the 8-ball both have a mass of 0.460 kg. The collision between the two pool balls is inelastic. After the collision the 8-ball travels at an angle of 28.5°, relative to the x-direction, at a speed of 4.15 m/s. What is the momentum of the system just before the collision? What is the kinetic energy of the system just before the collision? What is the x-component of the 8-ball’s momentum just after the collision? What is the y-component of the 8-ball’s momentum just after the collision? What is the x-component of the cue ball’s momentum just after the collision? What is the y-component of the cue ball’s momentum just after the collision? What is the speed of the cue ball just after the collision? What is the kinetic energy of the system just after the collision?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A person is playing pool. Initially the 8-ball is at rest. The cue ball is initially traveling toward the 8-ball at 6.85 m/s (take this direction to be the positive x-direction). For the following problem all rotation, friction, and air-resistance will be ignored. The cue ball and the 8-ball both have a mass of 0.460 kg. The collision between the two pool balls is inelastic. After the collision the 8-ball travels at an angle of 28.5°, relative to the x-direction, at a speed of 4.15 m/s.

  1. What is the momentum of the system just before the collision?
  2. What is the kinetic energy of the system just before the collision?
  3. What is the x-component of the 8-ball’s momentum just after the collision?
  4. What is the y-component of the 8-ball’s momentum just after the collision?
  5. What is the x-component of the cue ball’s momentum just after the collision?
  6. What is the y-component of the cue ball’s momentum just after the collision?
  7. What is the speed of the cue ball just after the collision?
  8. What is the kinetic energy of the system just after the collision?
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