While visiting a playground, you see a child riding on a merry-go-round, which is a large metal disk which is parallel to the ground and can spin around its center. The merry-go-round has handrails, but almost all the mass of the merry-go-round is in the disk. The child is not enjoying how fast they are spinning on the merry- go-round. With your knowledge of physics, you know that they could slow their rotation without outside assistance by moving to a different distance from the center of the merry-go-round. If the child starts 50 cm away from the middle of the merry-go-round, by what fraction could they reduce the rotational speed of the merry-go-round just by moving to a different distance from the center? You estimate that the merry-go-round is three meters across and made of 1-cm-thick steel, and the child has a mass of about 40 kg.