A body weighs W at the surface of the earth. Its weight at a height equal to half the radius of the earth will be

Question

A body weighs W at the surface of the earth. Its weight at a height equal to half the radius of the earth will be, W 2, 2 W 3, 4 W 9, 8 W 27

MARKS App · Accepted Answer

The weight of an object at the surface of the earth is W = m g = m G M R 2 At a height h = R 2 , the weight would be W ' = m G M R + h 2 = 4 9 × m G M R 2 ∴ W ' = 4 9 W

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