Determine the acceleration of gravity of bodies on the Moon. Take the radius of the moon R = 1740 km

Determine the acceleration of gravity of bodies on the Moon. Take the radius of the moon R = 1740 km, its mass m = 7.33 * 10 ^ 22 kg.

Given:

R = 1740 kilometers = 1740 * 10 ^ 3 meters – the radius of the moon;

M = 7.33 * 10 ^ 22 kilograms – the mass of the Moon;

G = 6.67 * 10 ^ -11 N * m ^ 2 / kg ^ 2 – gravitational constant.

It is required to determine gl (m / s ^ 2) – the acceleration of gravity on the moon.

gl = G * M / R ^ 2 = 6.67 * 10 ^ -11 * 7.33 * 10 ^ 22 / (1740 * 10 ^ 3) ^ 2 =

= 48.89 * 10 ^ 11 / (1740 ^ 2 * 10 ^ 6) = 48.89 * 10 ^ 5/3027600 = 4889000/3027600 = 1.6 m / s ^ 2.

Answer: The acceleration on the lunar surface is 1.6 meters per second squared.