A man pulls a bucket of water from a well of depth h. If the mass of the uniform rope and bucket full of water are m and M respectively. The value of work done by the man is

Engineering

Physics

Work Done by a Constant Force

Center of Mass

Calculus

Question

A man pulls a bucket of water from a well of depth h. If the mass of the uniform rope and bucket full of water are m and M respectively. The value of work done by the man is

$(\frac{m}{2} + M) gh$

$(\frac{m + M}{2}) gh$

(m+M) gh

None of the above

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$w = \frac{mgh}{2} + Mgh = (\frac{m}{2} + M) gh$ .