Gravitational potential of the body of mass m at a height h from surface of earth of radius R is (Take g= acceleration due to gravity at earth's surface)

Step-by-step solution

If a point mass m is placed at a height h from surface of earth, the potential energy is U_h=- G M m (R+h) = -g R^2 m R (1+ h R ) = -g R^2 m R (1+ h R )⁻¹ ( g= G M R^2 )U_h= -g R^2 m(R-h) R^2 =-g m(R-h) V= U_h m = -g m(R-h) m =-g(R-h)