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?

Question
Asked Feb 4, 2020
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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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Expert Answer

Step 1

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Consider m as the mass of each ball, u and v are the velocities before and after collision. Also, consider subscript 1 and 2 for the cue ball and 8-ball respectively.

Diagram for initial condition and condition just after collision is shown below.

Physics homework question answer, step 1, image 1
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Step 2

(1)

The momentum of the system just before collision is given by,

Physics homework question answer, step 2, image 1
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Step 3

(2)

Kinetic energy of the system just bef...

Physics homework question answer, step 3, image 1
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