If g is the acceleration due to gravity on the earth's surface, the change 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
mgR2
2mgR
mgR
−mgR
A
mgR2
B
2mgR
C
mgR
D
−mgR
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Solution
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Gain in potential energy=△U=U2−U1 △U=(−GMm2R)−(−GMmR)
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The change in Gravitational potential energy when a body of mass m is raised to a height nR from the Earth’s surface is (R= radius of the earth, g= acceleration due to gravity on the surface of Earth)