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?

Question

MyClass24 · Accepted Answer

Soln:
Let R and M be the radius and mass of the earth Then
Weight of the object= M
R2
Original weight W0= mg = mg M
R2
Hypothetically 4m and R becomes R
2
Then, weight = mG 4M
(𝑅) 2
2
=(16m g) M
R2
= 10xW0
Weight will be 16 times.