The change in potential energy when a body of mass m is raised to a height nR from the earth's - Physics - Gravitation

Question

The change in potential energy when a body of mass m is raised to a
height nR from the earth's surface (R=radius of earth)

Vaibhav T. · Accepted Answer

Dear Student,

Potential energy at surface of earth, PE1=GMmRPotential energy at a heught nR from the surface of earth, PE2=GMmR+nRChange in PE=PE1-PE2Change in PE=GMmR-GMm(n+1)RChange in PE=GMmR1-1n+1Change in PE=GMmRn+1-1n+1Change in PE=nn+1GMmR 
(1)Also, g=GMR2 
(2)from (1) and (2),Change in PE=nn+1mgR

The change in potential energy when a body of mass m is raised to a height nR from the earth's surface (R=radius of earth)