The velocity of the cue ball and the 8 balls after collision.
Answer to Problem 75A
The velocity of the cue ball after collision is
The velocity of the eight balls after collision is
Explanation of Solution
Given:
The mass of the cue ball is
The velocity of the cue ball is
The angle of collision is
The mass of the eight balls is equal to the mass of the cue ball
Formula used:
The expression for the momentum is
Here,
Calculation:
Consider the initial momentum of the cue ball is
The x and y components of the balls after collision are shown below.
The initial velocity of the cue ball is
The final velocity of the cue ball is
The final velocity of the eight balls is
The initial momentum of the cue ball is,
By the law of conservation of momentum, the initial momentum and final momentum of the system are equal.
The final velocity of the cue ball using the relation of the final momentum of the cue ball is,
The final velocity of the eight balls using the relation of the final momentum of the eight balls is,
Conclusion:
Therefore, the velocity of the cue ball after collision is
Chapter 9 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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