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Question

Suppose that the radius of the earth becomes twice of its original radius without any change in is mass. Then what will happen to your weight?

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Answer

We know that F = {πΊπ‘€π‘š \over π‘Ÿ^2} as weight of a body is the force with which a body is attracted towards the earth,

∴ W = {πΊπ‘€π‘š \over π‘Ÿ^2}

If the radius of the earth becomes twice of its original radius, then

W = {πΊπ‘€π‘š \over (2π‘Ÿ^2)}

= {πΊπ‘€π‘š \over 4π‘Ÿ^2}Β  Β = {π‘Š \over 4}

i.e., weight will be reduced to one-fourth of the original.

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