A merry-go-round with moment of inertia of 550 kg m 2 has a boy of mass 45 kg riding in the center of the merry-go-round with an initial angular velocity of 9 revolutions per minute. The boy then travels from the center to the outside rim of the merry-go-round, whose radius is 2 m. (a) (5 pts) Express initial angular velocity in rad/s. (b) (5 pts) Calculate the moments of inertia of the system before and after the boy moves. (c) (5 pts) What is the angular velocity (in rad/s) of the merry-go-round after this motion of the boy? (d) (5 pts)What was the change in the Kinetic Energy?