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Mathematics (AS & A Level) · Oct / Nov 2020 · Paper 43 · Question 4

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Two small smooth spheres A and B, of equal radii and of masses 4 kg and m kg respectively, lie on a smooth horizontal plane. Initially, sphere B is at rest and A is moving towards B with speed 6 m s−1. After the collision A moves with speed 1.5 m s−1 and B moves with speed 3 m s−1. Find the two possible values of the loss of kinetic energy due to the collision. [6]

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