1.

Two friends A and B (each weighing 40 kg) are sitting on a friction less 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 A and A catches it.The ball keeps on moving back and forth between A and B.The ball has a fixed speed of 5 m/s on the platform.(a) Find the speed of A after he rolls the ball for the first time.(b) Find the speed of A after he catches the ball for the first time.(c) Find the speeds of A and B after the ball has made 5 round trips and is held by A.(d) How many times can A roll the ball ? (e) Where is the centre of mass of the system "A+B+ball" at the end of the nth trip ?

Answer»

Two friends A and B (each weighing 40 kg) are sitting on a friction less 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 A and A catches it.The ball keeps on moving back and forth between A and B.The ball has a fixed speed of 5 m/s on the platform.(a) Find the speed of A after he rolls the ball for the first time.(b) Find the speed of A after he catches the ball for the first time.(c) Find the speeds of A and B after the ball has made 5 round trips and is held by A.(d) How many times can A roll 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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