A student sits on a freely rotating stool holding two weights, each of mass 2.98 kg. When his arms are extended horizontally, the weights are 0.95 m from the axis of rotation and he rotates with an angular speed of 0.746 rad/s. The moment of inertia of the student plus stool is 2.98 kg-m2 and is assumed to be constant. The student pulls the weights inward horizontally to a position 0.296 m from the rotation axis. (a) (b) (a) Find the new angular speed of the student. Enter a number. differs from the correct answer by more than 10%. Double check your calculations. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the weights Inward. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error J (before) x Your response differs from the correct answer by more than 10%. Double check your calculations. ] (after)