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38 Two friends A and B (each weighing 40 kg) are sitting on a frictionless platform some distance d apart.A rolls a ball of mass 4 kg on the platform towards B which B catches. Then B rolls the ball towards Aand A catches it. The ball has a fixed speed of 5 m/s on the platform. (a) Find the speed of A after herolls the ball for the first time. (b) Find the speed of A after he catches the ball for the first time. (c) Findthe speeds of A and B after the ball has made 5 round trips and is held by A. (d) How many times can Aroll the ball? (e) Where is the centre of mass of the system "A+B+ ball" at the end of the nth trip?

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