You are drawing water from a well. The speed at which you pull the bucket out is 0.5 m/s. It takes 5 seconds to pull out the bucket. What is the length of the rope? (Assume that no part of the rope is hanging out when you start pulling the rope)
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Answer:
Work done by the person is the change in potential energy of the bucket and the rope.
Given, the rope has a uniform mass m. So the center of mass for the rope is at half of the length of the rope.
So, it will be at a distance h/2 from the bottom.
Work done = Change in PE of bucket+Change in PE of rope
W=Mgh+mg
2
h
=(M+
2
m
)gh
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