A body of mass m is placed on the earth's surface. It is taken from the earth's surface to a height h = 3 R when R is the radius of the earth. The change in gravitational potential energy of the body is

Question

A body of mass m is placed on the earth's surface. It is taken from the earth's surface to a height h = 3 R when R is the radius of the earth. The change in gravitational potential energy of the body is, 3 2 m g R, 3 4 m g R, 1 2 m g R, 1 4 m g R

MARKS App · Accepted Answer

PE at the surface of earth P E = - G M m R PE at a height 3R e P E = - G M m R + 3 R = - G M m 4 R Δ P E = P E f - P E i = - G M m 4 R - - G M m R = 3 4 G M m R ⇒ Δ P E = 3 4 m g R

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