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Question

The gravitational potential difference between the surface of a planet and a point 100 m above its surface is 10 Jkg1. If the gravitational field over this range is uniform, then the work done to raise the body of 5 kg from the surface to a height of 40 m is


A

10 J

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B

20 J

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C

40 J

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D

80 J

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Solution

The correct option is B.

20 J


We know that, gravitational field, g=GMR2=ΔVΔx=Rate of change of potential=10100..........(Given).

Since the gravitational field is uniform, the work done is given by

W = mgh = 5 × rate of change of potential × 40

=5×10100×40

= 20 J.


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