A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.7 kg *m^2. A second student tosses a 2.0 kg mass with a speed of 3.0 m/s to the student on the stool, who catches it at a distance of 0.45 m from the axis of rotation.
Calculate the final kinetic energy of the system.