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Rotational and Translational Kinetic Energy
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Two identical disks with moment of inertia I are initially at rest. Disk A is given an angular impulse causing it to rotate with angular velocity ω. Disk B is given a linear impulse causing its center of mass to move with velocity v = Rω, where R is the disk radius. How does the kinetic energy of disk A compare to disk B?

A

Disk A has the same kinetic energy as disk B

B

Disk A has one-fourth the kinetic energy of disk B

C

Disk A has half the kinetic energy of disk B

D

Disk A has twice the kinetic energy of disk B

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