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?
ScienceClass 9CBSEAnswered 27 Mar 2026
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.
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