A man goes to a height equal to the radius of the earth from its surface. The weight of the person at that height relative to his weight on the surface of earth is

Question

A man goes to a height equal to the radius of the earth from its surface. The weight of the person at that height relative to his weight on the surface of earth is, 1 2, 1 3, 1 4, 1 5

MARKS App · Accepted Answer

At the surface of the earth, the weight of the person. W = mg ⇒ mGM R 2 At a height h weight W ' = m g ' ⇒ m G M ( R + h ) 2 ∴ W ' W = R 2 ( R + h ) 2 When h = R , W ' W = R 2 ( 2 R ) 2 = 1 4

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