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Grade 1010 grade science

A man weighs W on the surface of earth. What is his weight at a height equal to radius of the earth

Profile image of SUDHARSANA V V
8 Years agoGrade 10
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1 Answer

Profile image of Arun
8 Years ago
Weight is inversely proportional to square of distance between man and centre of earth
W ∝ 1/d^2

Initial distance when weight = W is R
When it is at a height R distance is 2R

W₁/W₂ = (d₂/d₁)^2
W/W₂ = (2R/R)^2
W/W₂ = 4
W₂ = W/4
 
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Arun (askIITians forum expert)