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Three balls are aligned along one line. Two of the balls are initially stationary, V while the first ball moves, and hits centrally the second

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Three balls are aligned along one line. Two of the balls are initially stationary, V while the first ball moves, and hits centrally the second ball, which, in turn, 1 . . . . . 5. hits centrally the third ball. Assume the collisions are totally elastic. The first and the third balls have mass m each. Find the mass of the second ball which m M m is required to maximise the final velocity of the third ball

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