Question

If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is

A
12mgR
B
2mgR
C
14mgR
D
mgR
Solution
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Gain in potential energy
=(GMm2R)(GMmR)
=GMmRGMm2R
=GMm2R
=mgR22RAs,GM=gR2
=12mgR

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