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A student sits on a freely rotating stool holding two dumbbells, each of mass 2.98 kg....

A student sits on a freely rotating stool holding two dumbbells, each of mass 2.98 kg. When his arms are extended horizontally, the dumbbells are 0.94 m from the axis of rotation and the student rotates with an angular speed of 0.752 rad/s. The moment of inertia of the student plus stool is 2.79 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.308 m from the rotation axis.

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

(b) Find the kinetic energy of the rotating system BEFORE he pulls the dumbell inward.

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