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For the apparatus pictured below, one ball swinging in at a speed of 2vo will not cause two balls to swing out with speeds vo.

For the apparatus pictured below, one ball swinging in at a speed of 2vo will not cause two balls to swing out with speeds vo. (a) Which law of physics precludes this situation from happening, the law of conservation of momentum or the law of conservation of mechanical energy? (b) Prove this law mathematically

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