What happens to Gravitational force between two bodies when mass of each made 3 times and distance between them is reduced to 1/3rd? Is the value of G affected and by how much?
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let 2 objects of mass m and M attract each other with a force F and the distance between them is d
F=GMm/d² .....................................(1)
if a situation occurs as in the question
F1= G (3M) (3m) / (1/3d)²
F1= 9 * 9 GMm/d²
F1= 81( GMm/d²)
by (1)
=> F1 = 81F
so new force will be 81 times the force before
no the value of G will not be affected as it is constant at all the places in universe
F=GMm/d² .....................................(1)
if a situation occurs as in the question
F1= G (3M) (3m) / (1/3d)²
F1= 9 * 9 GMm/d²
F1= 81( GMm/d²)
by (1)
=> F1 = 81F
so new force will be 81 times the force before
no the value of G will not be affected as it is constant at all the places in universe
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