A merry-go-round has a mass of 225kg and a radius 2.3m and can be treated as a solid disk. There are also four children on the merry-go-round, each has a mass of 42kg and can be treated as point masses. A. Would the system (merry-go-round and children) have a higher moment of inertia if the children were all towards the center of the merry go round or towards the edge? B. The merry-go-round is initially spinning at 3.1 rad/s and the children are each 2m from the center of the merry-go-round. The children then walk towards the center of the merry-go-round. What is the angular speed of the merry-go-round when the children are each 1m from the center of the merry-go-round