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 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 center of mass of the system "A+B+ball" at the end of the nth trip? ANSWER: (a) CASE - 1 => Total momentum of the man A and the ball will remain constant Therefore , 0 = 4 x 5 - 40 x v v = 0.5 m/s towards left (b) CASE - 2 => When B catches the ball , the momentum between the B and the ball will remain constant. 4 x 5 = 44v v =...