The magnitude of gravitational potential energy of earth-moon systems is U which are zero at infinite separation, If K is the K.E. of the moon with respect to earth, then
A
|U|=K
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B
|U|<K
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C
|U|>K
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D
Either B or C
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Solution
The correct option is D|U|>K The orbital velocity of moon is v0m=√GMer .................(i) So kinetic energy of moon is K=1/2Mmv20m K=GMeMm2r.................(ii) U=−GMeMmr.................(iii) where r is distance between the centres of earth & moon Hence |U|>K