if the distance between two object is 500m and is increased to 1000m what happen to the gravitational force between them ?
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Answer:
gravitational force decreased by 9 times.
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How does the force of gravitation between two objects change when the distance between them is reduced to half?
Answer:
According to Universal law of gravitation, the force of attraction between 2 bodies is:-
F = (G m1m2)/r2
Where m1m2 = the masses of the two bodies,
r = distance between them
G = gravitational Constant
When the distance is reduced to half i.e. r’ = (1/2) r then,
F’ = (G m1m2)/r2
= (G m1m2)/(r/2)2
= (4 G m1m2)/ (r2) = 4F
Therefore when the distance between the objects is reduced to half, then the force of gravitation increases by four times the original force.
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