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Question

A satellite is revolving round the earth with orbital speed v0. If it stops suddenly, the speed with which it will strike the surface of earth would be

(ve= escape velocity of a particle on earth's surface)


A

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B

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C

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D

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Solution

The correct option is D


Let r be the radius of the satellite.Then

v20=GMr ------------------(1)

R = radius of earth.

Applying conservation of mechanical energy between points A and B, we have:

12mv2=GMmr(GMmR)

or v2=2GMR2GMr

= v2e2v20

or v=v2e2v20


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