Determine the force of mutual attraction between the Earth and the Moon, if the mass of the Earth
Determine the force of mutual attraction between the Earth and the Moon, if the mass of the Earth is 5.97 * 10 ^ 24 kg, the mass of the Moon is 7.3 * 10 ^ 23 kg, and the distance between the centers of the Earth and the Moon is 384 * 10 ^ 6 m. Solution. We calculate by the formula of the law of universal gravitation. F = 1.7 * 10 ^ 20 N. Formula of the law of universal gravitation.
Given:
m1 = 5.97 * 10 ^ 24 kilograms – the mass of the Earth;
m2 = 7.3 * 10 ^ 23 kilograms – the mass of the moon;
R = 386 * 10 ^ 6 meters – the distance between the centers of the Earth and the Moon;
G = 6.67 * 10 ^ -11 m ^ 3 / kg / s ^ 2 – gravitational constant.
It is required to find the force of gravity of the Earth and the Moon F (Newton).
F = G * m1 * m2 / R ^ 2 = 6.67 * 10 ^ -11 * 5.97 * 10 ^ 24 * 7.3 * 10 ^ 23 / (386 * 10 ^ 6) ^ 2 =
= 290.7 * 10 ^ 36 / 14.9 * 10 ^ 16 = 19.5 * 10 ^ 20 = 1.95 * 10 ^ 21 Newtons.
Answer: the force of attraction between the Earth and the Moon is 1.95 * 10 ^ 21 Newtons.
