Compute the each parts of given problem:

Problem: A student sits on a rotating stool holding two 2.6-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg •m² and is assumed to be constant. The student then pulls in the objects horizontally to 0.50 m from the rotation axis.

Part I: Find the new angular speed of the student.

(rad/s)

Part II: Find the kinetic energy of the student before and after the objects are pulled in.

...Before (J)

...After (J)

Show all work, use additional paper if necessary.