Question

Suppose the mass of the earth somehow increases by 10 per cent without any change in its size. What would happen to your weight? Suppose the radius of the earth becomes twice its present radius without any change in its mass. What will happen to your weight?

Answer 1

Here is the answer. I hope u find it useful.

F = GMm/R²
If mass is increased by 10%,
F = GM x 110/100m / R²
F = 110/100 x GMm/R²

Therefore, weight will increase by 10%

If Radius is doubled,
F = GMm/(2R)²
F = GMm/4R²
F = 1/4 x GMm/R²

Therefore, weight will be 25% (one fourth).