Question

the Gravitational force of two objecte is
4 N. What will be the gravitational
force between them, if the distance between
them is reduced to 1/4 th of its orginal
distance.​

Answer 1

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.