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north_pole
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Homework Statement
A bucket of mass M (when empty) initial at rest and containing a mass of water is being pulled up a well by a rope exerting a steady force P. The water is leaking out of the bucket at a steady rate such that the bucket is empty after a time T. Find the velocity of the bucket at the instant it becomes empty.
Homework Equations
rocket equation:
Fext = m dv/dt - Vrel dm/dt
The Attempt at a Solution
the total mass of the bucket and water is M' = M + m - mt/T , where m is the initial mass of the water.
The hint said " as the leaking water has zero velocity relative to the bucket.."
I don't understand it. Why Water should have zero velocity relative to the bucket?? Water is leaking out at a steady rate, so there should be a non-zero constant velocity. i am so confused.