With an increase in the mass of one of the interacting bodies by 5 times, the force of universal

With an increase in the mass of one of the interacting bodies by 5 times, the force of universal gravitation increases or decreases by how many times.

Given:

m1, m2 – masses of interacting bodies;

G – gravitational constant;

R is the distance between bodies;

m3 = 5 * m1 – the mass of the first body was increased by 5 times.

It is required to determine F2 / F1 – the ratio of the force of universal attraction in the first and second cases.

Let’s find the force of attraction in the first case:

F1 = G * m1 * m2 / R ^ 2.

Let us find the force of attraction in the second case:

F2 = G * m3 * m2 / R ^ 2 = 5 * G * m1 * m2 / R ^ 2.

Then:

F2 / F1 = (5 * G * m1 * m2 / R ^ 2) / (G * m1 * m2 / R ^ 2) = 5.

Answer: the force of gravity will increase 5 times.