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Question

Water is drawn from a well in a 5 kg drum of capacity 55 L by two ropes connected to the top of the drum. The linear mass density of each rope is 0.5 kgm1. The work done in lifting water to the ground from the surface of water in the well 20 m below is [g = 10 ms2]


A

1.4×104 J

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B

1.5×104 J

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C

9.8×10×6 J

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D

18 J

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Solution

The correct option is A

1.4×104 J


Work done in lifting water and drum is 60×10×20 J =12000 J
Total mass of ropes =40 × 0.5 kg =20 kg
Work done in the case of ropes is 20 × 10 × 10 = 2000 J

Total work done = 14000 J


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