The gravitational potential difference between the surface of a planet and a point 100 m above its surface is 10 Jkg−1. 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
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.