Question

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

Answer 1

gravitational acceleration = GM/R^2

where M = mass of planet

R = radius of planet

here mass is constant so g proposnal 1/r^2

g1/g2 = r2^2/r1^2

here, r2 = 2r1

g1/g2 = 4

g2 = g1/4

weight = mg

now g' = g/4

so, our weight will be reduced by factor 1/4

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