suppose the mass of the earth is reduced to one fourth of its present value and it's radius remaining the same then what will be the effect on value of weight of an object of mass 100 N
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Here we can see that the acceleration due to gravity or g is inversely proportional to Radius or r square.
If mass is kept constant and G being universal gravity constant, radius is halved, then as radius decreases acceleration due to gravity increases, the new acceleration due to gravity becomes 4 times g or 4g.
Weight is calculated as a Force.
Weight = Mass of a body x Acceleration due to gravity.
And hence the weight directly proportional to acceleration due to gravity increases 4 times the original value.
This value is an approximate because here we don't consider the shape of the Earth, Variable Gravity fields and many other external influencing forces.
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