Question

If g is acceleration due to gravity on the surface of the earth , the gain in potential energy of an object of mass m raised from earth surface to a hight equal to the radius R of the earth is​

Answer 1

potential energy on earth's surface is,

• P1=-GMm/R

potential energy at a height=R is,

• P2=-GMm/2R

gain in potential energy,

P2-P1=GMm/2R

• GM=gR^2

P2-P1=mgR/2

• this can be derived from a simple equation,

if h=nR

gain in potential energy,

P=[(n×mgR)/n+1]