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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 ...

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

A

1000 J

B

800 J

C

900 J

D

500 J

Answer

900 J

Explanation

Solution

Gravitational force on bucket at starting position

= mg = 10 × 10 = 100 N

Gravitational force on bucket at final position

= 8 × 10 = 80 N

So the average force through out the vertical motion

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