Q.

A satellite of mass m is put into a circular orbit at a height h from the surface of earth (mass Me and radius Re). The velocity of satellite is

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a

V0=GMeRe

b

Vn=GMeRe+h

c

none of these

d

V0=GMeh

answer is A.

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Detailed Solution

See fig.
 

Question Image

The centripetal force on the satellite is given by
FC=mv02r
The gravitational force exerted by the earth on satellite is given by
FG=GMemr2 mv02r=GMemr2 or v02=GMer
or v02=GMeRe+h  or  v0=GMeRe+h
 

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A satellite of mass m is put into a circular orbit at a height h from the surface of earth (mass Me and radius Re). The velocity of satellite is