Two smooth spheres A and B, of equal radius, are moving in the same direction in the

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Two smooth spheres A and B, of equal radius, are moving in the same direction in the same straight line on a smooth horizontal table. Sphere A has mass m and speed If and sphere B has mass am and speed 1/4u. The spheres collide and A is brought to rest by the collision. Find the coefficient of restitution in terms of α.

Deduce that a ≥ 2.

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