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A billiard ball collides elastically with an identical stationary ball. The collision is not head on

A billiard ball collides elastically with an identical stationary ball. The collision is not head on A billiard ball collides elastically with an identical stationary ball. The collision is not head on. Show that the directions of motion of the two balls are at right angles after the collision. Solve the problem in centre of mass frame as well as in lab frame.

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