A body of mass m rises to a height h= R 5 from the earth's surface, where R is the earth's radius. If g is acceleration due to gravity at the earth's surface, the increase in potential energy will be

Step-by-step solution

Increase in potential energy = Final potential energy - Initial potential energy =- GMm (R+ R 5 ) - (- G M m R )=- 5 6 G M m R + G M m R = 1 6 G M m R = 1 6 G M m R R^2 = 1 6 m g R [ g= G M R^2 ]= 5 6 m g h [ h= R 5 ]