A small merry-go-round at the park is rotating at 0.85 rad/s before a small child jumps on. The child is 35.0 kg and the radius of the merry-go-round is 1.60 m. If the child lands at a point halfway to the center, what is the angular speed of the system after she lands? Assume the merry-go-round to be a solid disc with a mass of 100 kg and for this problem, you may treat the child as a point mass. The moment of inertia of a solid disc is 1/2MR^2.