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Step-by-step explanation: 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. Reply
Step-by-step explanation:
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.