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One Dimensional Elastic Collision

A ball of mass 2 m is projected upward with speed Vo(or V=0)from the floor. Another ball of mass m is hung from the ceiling by a light string at a height h directly above the first ball, so that the projected ball collides with it. Derive an expression for the height about the floor to which the second ball will rise as a function of Vo, h, and g, assuming that the collision is elastic.

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This solution includes formulas and four steps of calculations.