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Questions  

A satellite is moving in a circular orbit at a height R above the surface of earth with kinetic energy K. If the satellite is suddenly stopped, with what kinetic energy will it strike the surface of earth? 

a
2 K
b
4 K
c
3 K
d
K/2

detailed solution

Correct option is A

Initially, −K=−GMm2(2R)⇒K=GMm4Rwhen the satellite is falling on to the surface of earth, conserving energy, K1+(−GMmR)=0+(−GMm2R)⇒K1=GMm2R=2 K

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