With what force do the Moon and the Earth interact if the mass of the Moon is 7 * 10 ^ 22

With what force do the Moon and the Earth interact if the mass of the Moon is 7 * 10 ^ 22 kg, and the Earth’s is 6 * 10 ^ 24 kg. The distance between them is 384,000 km.

Given:

m1 = 7 * 10 ^ 22 kilograms – the mass of the Moon;

m2 = 6 * 10 ^ 24 kilograms – the mass of the Earth;

r = 384,000 kilometers = 3.84 * 10 ^ 8 meters – the distance between the Earth and the Moon;

G = 6.67 * 10 ^ -11 N * m2 / kg2 – gravitational constant.

It is required to determine F (Newton) – the force of the gravitational interaction of the Earth and the Moon.

To determine the strength of the interaction between the Earth and the Moon, you must use the following formula:

F = G * m1 * m2 / r ^ 2;

F = 6.67 * 10 ^ -11 * 7 * 10 ^ 22 * 6 * 10 ^ 24 / (3.84 * 10 ^ 11) ^ 2;

F = 280.14 * 10 ^ 35 / (14.75 * 10 ^ 22) = 19 * 10 ^ 13 = 1.9 * 10 ^ 14 Newton.

Answer: The Earth and the Moon interact with a force equal to 1.9 * 10 ^ 14 Newton.