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A particle of mass 'm' is raised to a he...

A particle of mass 'm' is raised to a height `h = R` from the surface of earth. Find increase in potential energy. `R =` radius of earth. `g =` acceleration due to gravity on the surface of earth.

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Gain in `PE = "final" PE - "intial" PE = (-(GM m)/(2R)) - (-(GM m)/(R )) = (GM m)/(2R) = (gR^(2) m)/(2R) = (1)/(2) mg R`
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