A student sits on the rotating stool holding two 4.0 kg objects. If his arms are extended horizontally, the objects are 1.0 m from the axis of rotation, and he rotates with the angular speed of 0.75 rad/s. The moment of inertia of student in addition stool is 3.0 kg•m2 and is supposed to be constant. The student then pulls the objects horizontally to 0.20 m from the rotation axis.
(i) Determine the new angular speed of the student.
(ii) Determine the kinetic energy of the student system prior to and after the objects are pulled in.