Three particles are lying in a straight line on a smooth, horizontal surface. The particles are labelled

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Three particles are lying in a straight line on a smooth, horizontal surface. The particles are labelled A, B and C, with B between A and C. The masses of the particles are 5 kg, 3 kg and 2 kg, respectively. The coefficient of restitution between A and B is 1/2, and the collision between B and C is perfectly elastic. Particle C is projected towards particle B with velocity 8ms-1. Find the velocity of each particle after the second collision, stating whether or not there will be any further collisions.

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