A student sits on the rotating stool holding two 2 kg objects. When his arms are extended horizontally, the objects are around 1 m from the axis of rotation and he rotates with the angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is around 3.0 kg•m2 and is supposed to be constant. The student then pulls the objects horizontally to 0.40 m from the rotation axis.
(i) Determine the new angular speed of the student.
(ii) Determine the kinetic energy of the student system before and after the objects are pulled in.