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Conserved Angular Momentum and Kinetic Energy

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A wheel of mass M and radius R rolls without slipping with translational speed v. If the radius of the wheel is reduced to R/2 while its angular momentum about its center of mass is conserved, what is the resulting change in its total kinetic energy?

A

It increases by a factor of 2

B

It remains the same

C

It increases by a factor of 4

D

It increases by a factor of 4

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