# Determine the force of gravitational interaction of two bodies with masses 2m and 8m, located

October 9, 2021 | education

| **Determine the force of gravitational interaction of two bodies with masses 2m and 8m, located at a distance of 4m from each other.**

Given:

m1 = 2 tons = 2 * 10 ^ 3 kilograms – the mass of the first body;

m2 = 8 tons = 8 * 10 ^ 3 kilograms – the mass of the second body;

R = 4 meters – distance between bodies;

G = 6.67 * 10 ^ -11 m ^ 3 / (c ^ 2 * kg) – gravitational constant.

It is required to determine F (Newton) – the force of gravitational interaction between bodies.

To determine the strength of the gravitational interaction, you need to use the following formula:

F = G * m1 * m2 / R ^ 2 = 6.67 * 10 ^ -11 * 2 * 10 ^ 3 * 8 * 10 ^ 3/4 ^ 2 =

= 106.72 * 10 ^ -5 / 16 = 6.67 * 10 ^ -5 Newton.

Answer: the force of interaction is 6.67 * 10 ^ -5 Newton.

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