8. A child having a mass of 40 kg runs at 2 m/s and jumps onto the edge of a merry-go-round (or roundabout playground equipment). Model the merry-go-round as a

solid disk weighing 250 kg with a radius of 2 m. The moment of inertia for a solid disk is I =ĮMR² . [6 pt] а. If the merry-go-round is initially at rest, determine the angular velocity w of the child and merry-go-round after she jumps on. Answer in rev/min. b. The child then makes their way to near the center of the merry-go-round. When the child is 0.5 m from the center of the merry-go-round, what is the new angular velocity of the child and the merry-go-round? c. Does the merry-go-round and child system have more, less, or the same energy after the child moves toward the center? Explain.

Fig: 1

Fig: 2

Fig: 3

Fig: 4