A person pulls a bucket of water from a well of depth \( h \). If the mass of uniform rope is \(...

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A person pulls a bucket of water from a well of depth \( h \). If the mass of uniform rope is \( m \) and that of the bucket full of water is \( M \), then work done by the person is
(a) \( \left(M+\frac{m}{2}\right) g h \)
(b) \( \frac{1}{2}(M+m) g h \)
(c) \( (M+m) g h \)
(d) \( \left(\frac{M}{2}+m\right) g h \)
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