If the distance between two objects of a given mass is halved.what is the change in force of attraction between them
Answers
Explanation:
How does the force of gravitation between two objects change when the distance between them is reduced to half? Therefore when the distance between the objects is reduced to half, then the force of gravitation increases by four times the original force.
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.
Explanation: