You are standing on a merry-go-round of mass 500 kg and radius 2 m. Initially you are at 1.2 m from the center and you are rotating with an angular speed of 45 rad/s. (a) If you move in to a point 0.2 m from the center, what speed will you be rotating at? Assume your mass is 60 kg. (b) Does the kinetic energy of you and the disk increase, decrease or stay the same?