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A student sits on a rotating chair holding two 6.0kg masses. When his arms are extended...

A student sits on a rotating chair holding two 6.0kg masses. When his arms are extended horizontally, the masses 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 students plus stool is 6.0 kg m2 and is assumed to be constant. The student pulls the masses horizontally to a 0.30m from the axis of rotation.

(a) Find the new angular speed of the student.  

(b) Find the kinetic energy of the student before and after he pulls the weights inward.

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