How will the force of interaction between two bodies of masses m1 and m2 change if the mass

How will the force of interaction between two bodies of masses m1 and m2 change if the mass of one of them is doubled, and the mass of the other is reduced by 2, without changing the distance between them?

Given:

m11, m12 are the masses of two bodies;

F is the force of interaction between two bodies;

G – gravitational constant;

m21 = 2 * m11, m22 = m12 / 2 – changed body masses;

R1 = R2 = R – distance between bodies.

It is required to determine the change in the force of interaction F2 / F1.

F1 = G * m11 * m12 / R ^ 2;

F2 = G * m21 * m22 / R ^ 2 = G * 2 * m11 * m12 / (2 * R ^ 2) = G * m11 * m12 / R ^ 2.

F2 / F1 = (G * m11 * m12 / R ^ 2) / (G * m11 * m12 / R ^ 2) = 1.

Answer: The strength of the interaction will not change.