how does force of gravitation between two object changes when the distance is reduced to half
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since G is inversely proportional to the square of distance between two objects
Therefore if the distance is reduced to half then the force will become twice of the original force
Therefore if the distance is reduced to half then the force will become twice of the original force
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the gravitational force increases 4 times the original force.
That is- according to gravitational law,the gravitational force of attraction between any two objects of mass M and m is proportional to the product of their masses and inversly proportional to the square of distance r between them
So, force F is given by
F=GM.m/r2
Now when the distance r is reduced to half then force between two masses becomes
F'=GMm/[r/2]2
= F'=4F
That is- according to gravitational law,the gravitational force of attraction between any two objects of mass M and m is proportional to the product of their masses and inversly proportional to the square of distance r between them
So, force F is given by
F=GM.m/r2
Now when the distance r is reduced to half then force between two masses becomes
F'=GMm/[r/2]2
= F'=4F
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