A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 3.5 kg*m^2. A second student tosses a 1.3-kg mass with a speed of 2.9 m/s to the student on the stool, who catches it at a distance of 0.46 m from the axis of rotation. The final angular speed is 0.459 rad/s.
(a) Calculate the initial and final kinetic energy of the system
KEi= _______ J
KEf= _______ J