How does the weight of an object vary with respect to radius of the earth?
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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. The weight will become 16 times.
MUCH CLEAR :
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/R ^2
Original weight W o =mg=mG M/R^2
when hypothetically M becomes 4 M and R becomes R/2
Then weight becomes
W n =mG .4M/(R/2)^2
=(16mG)M/R^2
=16×W o
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