In a game of pool, the cue-ball is traveling towards the eight-ball at 1m/s. Bot

Question

In a game of pool, the cue-ball is traveling towards the eight-ball at 1m/s. Both balls have a mass of 200g. The cue-ball strikes the eight-ball head on in an elastic collision. Find the final velocities of the cue-ball and the eight-ball. *I'm not sure how to solve this but please show me step by step how you get the answer and where are you getting the equations you used pleeeease!

Explanation / Answer

let v1 and v2 be the final velocities of the cue and eight balls respectively 0.2*1 = 0.2*v1+0.2*v2 ==> v1+v2 = 1 now for elastic collision, coefficient of restitution is 1 coefficient of restitution is the ratio of relative velocity of seperation to relative velocity of approach along line of collision. so 1 = (v2-v1)/1 ==> v2-v1 = 1 so from the above two equations, v2=1 and v1 = 0 ie. they exchange their velocities. velocity of cue ball = 0. velocity of eight ball = 1m/s in the initial direction of cue ball.

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