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Question: A person draws water from a 5 m deep well in a bucket of mass 2 kg of capacity 8 litre by a rope of ...

A person draws water from a 5 m deep well in a bucket of mass 2 kg of capacity 8 litre by a rope of mass 1 kg. What is the total work done by the person? (g = 10 m/s2)

A

550 J

B

525 J

C

125 J

D

500 J

Answer

525 J

Explanation

Solution

Work done to pull rope,

W1 = mg2\frac { \mathrm { mg } \ell } { 2 } = 1×10×52\frac { 1 \times 10 \times 5 } { 2 } = 25 J

Work done to pull the bucket, W2 = mgh

= 10 × 10 × 5 = 500 J

Total, W = W1 + W2 = 525 J