Question

How does the weight of an object vary with respect to mass and radius of the earth? In a hypothetical case, if the diameter of the earth becomes half of its present value and its mass becomes four times of its present value, then how would the weight of any object on the surface of the earth be affected?

Answer 1

Answer:

weight of an object is equal to the force exerted by the earth on that object , in the hypothetical situation - new accelaration due to gravity = 16GM/R^2 = 16g , g is the old accelaration due to the gravity , hence new weight = m(16g) = 16 mg that is 16 times the old weight