3. A bucket at for collecting water from a well is suspended from a light rope that is wrapped around a pulley with radius r = 10 cm and a moment of inertia of 0.1 kg-m². The empty bucket has a mass of 2 kg. Suppose someone drops the bucket from rest. Use conservation of energy to find how fast the bucket moving right before it hits the surface of the water 3 m below. 10 Note: you need to use that the speed of the bucket, v, is related to the angular speed of the pulley, w, by v = rw. Justify this with a brief explanation.

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3. A bucket at for collecting water from a well is suspended from a light rope that is
wrapped around a pulley with radius r = 10 cm and a moment of inertia of 0.1 kg-m².
The empty bucket has a mass of 2 kg. Suppose someone drops the bucket from rest.
Use conservation of energy to find how fast the bucket moving right before it hits the
surface of the water 3 m below.
10
Note: you need to use that the speed of the bucket, v, is related to the angular speed
of the pulley, w, by v = rw. Justify this with a brief explanation.
Transcribed Image Text:3. A bucket at for collecting water from a well is suspended from a light rope that is wrapped around a pulley with radius r = 10 cm and a moment of inertia of 0.1 kg-m². The empty bucket has a mass of 2 kg. Suppose someone drops the bucket from rest. Use conservation of energy to find how fast the bucket moving right before it hits the surface of the water 3 m below. 10 Note: you need to use that the speed of the bucket, v, is related to the angular speed of the pulley, w, by v = rw. Justify this with a brief explanation.
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