Playground Physics: [8 points] A child of mass 50. kg stands on the outer edge of a merry-go-round. The merry-go- round is a solid disk of mass 500. kg and radius 10. m, and is initially rotating with angular speed of 0.15 rad/s on frictionless bearings. The child then walks to the center of the merry-go-round over a span of 5.0 seconds. a) Treating the child as a point mass, what is the final angular speed of the merry-go- round once she reaches the center? b) What is the average power the child delivers to the merry-go-round as she walks towards its center