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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:
  1. 2mgR
  2. 12mgR
  3. mgR
  4. 14mgR

A
12mgR
B
2mgR
C
14mgR
D
mgR
Solution
Verified by Toppr

Acceleration due to gravity on earth's surface=g=GMR2.
Gain in potential energy=GMmRGMm2R=GMm2R=12mgR

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