a body of mass m is raised from the earths surface to an altitude equal to the radius(R) of the - Physics - Gravitation

Question

a body of mass m is raised from the earths surface to an
altitude equal to the radius(R) of the earth if g is the
gravitational acceleration on earths surface the change in the
potential energy of the body is,_______

Kranav Sharma · Accepted Answer

gravitational potential energy of a body of mass 'm' on the
surface of the earth radius 'R' and mass 'M' will be
U = -GMm/R
and at a height equal to earth's radius
U' = -GMm/(R+R) = -GMm/(2R)
so, change in potential energy will be
dU = U - U'
or
dU = -GMm/R - [-GMm/(2R)]
= (-GMm/R)[1 - 1/2]
thus, we get
dU = -GMm/2R

a body of mass m is raised from the earths surface to an altitude equal to the radius(R) of the earth. if g is the gravitational acceleration on earths surface the change in the potential energy of the body is,_______