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Question

The mass of a bucket containing water is 10 kg. What is the work done in pulling up the bucket from a well of depth 10 m if water is pouring out at a uniform rate from a hole in it and there is loss of 2kg of water from it while it reaches the top (g=10m/sec2)


A

1000 J

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B

800 J

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C

900 J

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D

500 J

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Solution

The correct option is C

900 J


Gravitational force on bucket at starting position =mg=10×10=100N

Gravitational force on bucket at final position =8×10=80N

So the average force through out the vertical motion =100+802=90N

Work done =Force×displacement=90×10=900J


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