# The distance between the Earth and the Moon is 3.8 * 10 km, their masses are 6 kg and 7.2 kg, respectively.

December 31, 2020 | education

| **The distance between the Earth and the Moon is 3.8 * 10 km, their masses are 6 kg and 7.2 kg, respectively. What is the force of gravity between the Earth and the Moon?**

The force of gravity, it is the force of gravitational attraction, is calculated by the formula:

F = (G * m1 * m2) / r ^ 2

Although, according to the condition of the problem, the masses of the Earth and the Moon and the distance between them are extremely small, we will make a calculation using the given data:

G = 6.67 * 10 ^ -11 Nm2 / kg2 – gravitational constant

m1 = 6 kg

m2 = 7.2 kg

r = 3.8 * 10 km = 3.8 * 10 ^ 4 m

F = (6.67 * 10 ^ -11 * 6 * 7.2) / 3.8 * 10 ^ 4 = 75.82 * (10 ^ -11 / 10 ^ 4) = 75.82 * (10 ^ – 15) H

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