how does the forces of gravitation between two objects change when the distance between them becomes 6 time
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Therefore when the distance between the objects is reduced to half, then the force of gravitation increases by four times the original force. Gravitational force acts on all objects in proportion to their masses. ... It is constant and the value of 'g' does not depend upon the mass of an object.
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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.
So Now if the distance between the objects increases by 6 times then the gravitational force decreases by 36 times
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.
So Now if the distance between the objects increases by 6 times then the gravitational force decreases by 36 times
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