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