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A bucket with mass m = 1.0 kg is suspended over a well by a winch...

A bucket with mass m = 1.0 kg is suspended over a well by a winch and rope. The winch consists of a solid cylinder with mass M = 7.0 kg and radius R = 0.10 m about which the rope is wrapped. The winch has a finite frictional force inside. A handle is attached to one end in order to rotate the cylinder. Now suppose that the winch handle breaks off, allowing the bucket to fall to the water as the rope unwinds from the cylinder. Assume that, as the bucket falls, friction does -10 J of work on the system. Find the final speed of the bucket just before it hits the water. The water level is at a depth h = 6.0 m below the bucket.

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