In a pool game, the cue ball, which has an initial speed of5.0 m/s, make an elas

Question

In a pool game, the cue ball, which has an initial speed of5.0 m/s, make an elastic collisionwith the eight ball, which is initially at rest. After thecollision, the eight ball moves at an angle of 35° to theoriginal direction of the cue ball. (a) Find the direction of motion of the cueball after the collision.
° (from the original line ofmotion)

(b) Find the speed of each ball. Assume that the balls have equalmass.
m/s (cue ball)
m/s (eight ball) (a) Find the direction of motion of the cueball after the collision.
° (from the original line ofmotion)

(b) Find the speed of each ball. Assume that the balls have equalmass.
m/s (cue ball)
m/s (eight ball)

Explanation / Answer

the angle is 90 - 35 = 55o both balls have same mass, so momentum conservation: vo = v1 + v2 it is a vector form, and means the 3 vectors form a triangle. energy conservation: vo2 = v12 +v22 it means the 3 vectors form a right triangle. so v1 and v2 are perpendicular to eachother. since the angle between v and v1 is 35o, sothe angle between v and v2 is 55o

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