(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

rocket equation:

Fext = m dv/dt - Vrel dm/dt

3. 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.

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# Homework Help: Rocket equation: leaking bucket

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