Consider a billiards player hitting a cue ball with mas m and velocity v directl

Question

Consider a billiards player hitting a cue ball with mas m and velocity v directly at another stationary ball of identical mass so that they hit head on. After the collision, the cue ball is stationary and the other ball has velocity v.

1. What is the momentum of the cue ball initially?

  8.1.2 What is the momentum of the stationary ball initially?

  8.1.3 What is the total momentum of the system (both balls together) before the collision?

  8.1.4 What is the momentum of the cue ball after collision?

  8.1.5 What is the momentum of the other ball after collsion?

  8.1.6 What is the total momentum of the system (both balls together) after the collision?

  8.1.7 How does the momentum of the system before the collision compare to the momentum of the system after the collision?

Explanation / Answer

Ans :- 1 momentum of the cue ball initially = m*v

2 momentum of the stationary ball initially = 0

3 total momentum of the system before the collision = mv + 0 = mv

4 momentum of the cue ball after collision = 0

5 momentum of the other ball after collision = mv

6 total momentum of the system after collision = 0 + mv = mv

7 here total momentum of the system after and before collision is same so total momentum of the system can be considered to be conserved

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