A satellite is moving in a circular orbit of radius r around earth with kinetic energy K. What work is to be done on the satellite to stop the satellite at any position in its orbit
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a
K2
b
−K2
c
K
d
-K
answer is D.
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Detailed Solution
Total energy of the satellite=−K=−GMm2rAfter the satellite is stopped, its total energy will be equal to its potential energy U=−GMmr=−2K∴ Work done = Final total energy - Initial total energy =−2K−(−K)=−K