Question

how is the force of attraction dependent on the masses of objects and distance between them

Answer 1

If the mass of one of the objects is doubled, then the force of gravity between them is doubled. ... Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.

Answer 2

Directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

This is in accordance with Newtons Law of Universal Gravitation. The law states that every particle in the cosmos attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centres.

A force operating along the line connecting the two points attracts every other point mass, according to the law. The force is proportional to the product of the two masses, and it is inversely proportional to the square of their distance.

Mathematically,

F = G $\frac{m1*m2}{r^2}$

Where,

F = Force of attraction

m1 and m2 = Masses of objects

r = distance between the centres.

and G = Universal constant of attraction =  In SI units, its value is approximately 6.674×10−11 m3⋅kg−1⋅s−2