In a pool game, the cue ball, which has an initial speed of 3.0 m/s, make an elastic collision with the eight ball, which is initially at rest. after the collision, the eight ball moves at an angle of 40° to the original direction of the cue ball. (a) find the direction of motion of the cue ball after the collision. ° (from the original line of motion) (b) find the speed of each ball. assume that the balls have equal mass. m/s (cue ball) m/s (eight ball)

Explanation:

Given

initial speed(u)=3 m/s

mass of each ball is m

Let the cue ball is moving in x direction initially

In elastic collision Energy and momentum is conserved

Let u be the initial velocity and be the final velocity of 8 ball and cue ball respectively

The angle after which cue ball is deflected is given by

Conserving momentum in x direction

Along Y axis

substitute the value of

we get

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