Calculate the first cosmic velocity for the Moon if the radius of the Moon is 1700 km

Calculate the first cosmic velocity for the Moon if the radius of the Moon is 1700 km and the acceleration of gravity of bodies on the Moon is 1.6 m / s².

To find out the desired first space velocity for the Moon, we use the formula: V1 = √ (G * Ml / Rl) = √ ((gl * Rl ^ 2) / Rl) = √ (gl * Rl).

Const (according to the condition): gl – acceleration of gravity (gl = 1.6 m / s2); Rl is the satellite radius (Rl = 1700 km; in the SI system Rl = 17 * 10 ^ 5 m).

Let’s perform the calculation: V1 = √ (gl * Rl) = √ (1.6 * 17 * 10 ^ 5) ≈ 1649.24 m / s.

Answer: The first cosmic speed of the Moon, according to the calculation performed, is 1649.24 m / s.