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A box of mass m = 10.0 kg is attached to a rope. The other end...

A box of mass m = 10.0 kg is attached to a rope. The other end of the rope is wrapped around a pulley with a radius of 15.0 cm. When you release the box, it begins to fall and the rope around the pulley begins to unwind, causing the pulley to rotate. As the box falls, the rope does not slip as it unwinds from the pulley. If the box is traveling at a speed of 2.50 m/s after it has fallen 0.500 m, what is the moment of inertia of the pulley?

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