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Q.

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?

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a

2 K

b

4 K

c

3 K

d

K/2

answer is A.

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Detailed Solution

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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