A disk-shaped merry-go-round rotates freely in a horizontal plane about a frictionless vertical axle. It has mass m=100kg and radius R=2.0m. A student whose mass is m=60kg walks slowly from the rim of the disk to its center. A) If the angular speed of the system is 2.0 rad/sec when the student is at the rim, what is the angular speed when she reaches a point r=0.50 m from the center? B) Compare the kinetic energy before and after she moves inward, are they the same?