A child (m = 40 kg) is playing on a merry-go-round (m = 200 kg, R = 2.0 m) that is initi...

A child (m = 40 kg) is playing on a merry-go-round (m = 200 kg, R = 2.0 m) that is initially at rest. The child then jumps off in a direction tangent to the edge of the merry-go-round as shown in Figure P9.38. The child has a speed of 5.0 m/s just before she lands on the ground. (a) Identify a system for which the total external torque is zero. (b) What is the initial angular momentum of your system? (c) Make a sketch showing your system just before and just after the child jumps off the merry-go-round. (d) If the final angular velocity of the merry go- round is , what is the final angular momentum of the merry go- round and of the child? Express your answers in terms of (e) What is the final angular velocity of the merry-go-round?