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Q.

A satellite is orbiting in circular path near about earth surface. How much times its kinetic energy make to escape it from its orbit:

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a

2 times 

b

Half

c

4 times

d

3 times 

answer is A.

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Detailed Solution

Kinetic energy of a satellite in the orbit is given as KE=12mvo2 , where vO is the orbital velocity of satellite.
We know that, escape velocity, ve=2vo 

Kinetic energy of satellite to escape,

KE=12mve2=12m2vo2=2

×12mvo2=2KE

Hence, kinetic energy required to escape is two times the kinetic energy in orbit.

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