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Gravitaional potential energy

A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be


Gravitational potential energy at any point at a distance r from the centre of the earth is


where and be masses of the earth and the body respectively.

At the surface of the earth, r = R


At a height from the surface.

r=R+h=R+2R    h=2RGiven

= 3R


Change in potential energy,

ΔU=UfUi =GMm3RGMmR =GMmR113=23GMmR =23mgR              g=GMR2

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