What is the body weight if its weight on the Moon is 160H?

Let some body of mass m, located on the Moon, be attracted to it with a force F, which is determined by the law of universal gravitation: F = G ∙ m ∙ Ml / Rl ^ 2, where Ml is the mass of the Moon, coefficient G = 6.67 ∙ 10 ^ (- 11) H ∙ m ^ 2 / kg ^ 2 – gravitational constant, Rl – distance to the center of the Moon. The value gl = G ∙ Ml / Rl ^ 2 is called the acceleration of gravity on the Moon gl = 1.6 m / s ^ 2. This means that the body, being attracted to the Moon with a force F = gl ∙ m, presses on the scales by a force called the weight P and equal in magnitude for a motionless body located on a horizontal surface to the force of attraction: P = F = gl ∙ m. Then:

m = P: gl.

It is known that the body weight on the Moon is F = 160 H. We get:

m = 160 H: 1.6 m / s ^ 2;

m = 100 kg.

Answer: body weight is 100 kg.