how does an object vary with respect to How does the weight of mass and radius of earth in a hippothetical cases y the diameter of earth becomes half of, es present value & its mass bicomes four times of its presunt value, then. how would the weight of any object onto the surface of the earth be affected?
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The weight of an object is directly proportional to the mass of the earth and inversely proportional to the square of the radius of the earth. i.e.
Weight of a body ∝ M/R²
Original weight Wo = mg= mGM/R²
when hypothetically M becomes 4 M and R becomes R/2
Then weight becomes
Wn = mG4M/(R/2)² = (16mG) M/R² =16×Wo
The weight will become 16 times the present weight.
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