A satellite is moving in a circular orbit around the earth with kinetic energy K. Due to collision with dust particles, it slowly loses 50% of its energy and finally starts rotating in a circular orbit of smaller radius. Then the kinetic energy of the satellite in this new orbit is
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a
K2
b
5K2
c
2K
d
3K2
answer is D.
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Detailed Solution
Initial total energy = -KFinal total energy =(−K)−K2=−3K2∴ Final kinetic energy =+3K2