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A rope of negligible mass hangs vertically on each side of a pulley. The pulley, which...

A rope of negligible mass hangs vertically on each side of a pulley. The pulley, which has mass 1.00 kg and radius 20 cm, can be modeled as a thin uniform cylinder. One end of the rope is tied to a box of mass 10.00 kg; this box is resting on the ground. The other end of the rope dangles freely. Then a 15.00 kg monkey, who is initially standing on a ledge 2.00 m above the floor, grabs the freely hanging rope and (starting from rest) accelerates down to the ground. As the monkey descends, the box rises. What is the monkey's speed when it reaches the floor?

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