A body of mass ' m ' is raised through a height above the earth's surface so that the increase in potential energy is 5 mgR . The height to which the body is raised is ( R = radius of

Question

A body of mass ' m ' is raised through a height above the earth's surface so that the increase in potential energy is 5 mgR ​ . The height to which the body is raised is ( R = radius of earth, g = acceleration due to gravity)

TestHub · Accepted Answer

When a particle of mass m is taken from the Earth's surface to a height h = n R , then the change in P.E. can be calculated as, ∴ ∴ n + 1 = 5 n ∴ ​ Δ U = mgR ( n + 1 n ​ ) 5 mgR ​ = mgR ( n + 1 n ​ ) n = 4 1 ​ h = 4 R ​ ​

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