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Question

Question: The increase in gravitational potential energy of an object of mass m raised from the surface of ear...

The increase in gravitational potential energy of an object of mass m raised from the surface of earth to a height equal to radius R of earth is :

A

mgR2\frac { \mathrm { mgR } } { 2 }

B

mgr

C

mgR3\frac { \mathrm { mgR } } { 3 }

D

mgR4\frac { \mathrm { mgR } } { 4 }

Answer

mgr

Explanation

Solution

Increase in potential energy

=

= mR2\frac { \mathrm { mR } } { 2 }

= g × 12\frac { 1 } { 2 } mR = 12\frac { 1 } { 2 } mgR