What is the first cosmic velocity on the Moon if the acceleration of gravity on it is 6 times less than

| August 14, 2021 | education

What is the first cosmic velocity on the Moon if the acceleration of gravity on it is 6 times less than on the earth, and the radius of the moon is 3.7 times less than the radius of the Earth.

To determine the value of the first cosmic velocity on the Moon, we will use the formula: Vl1 = √ (gl * Rl) = √ ((gs / k1) * (Rs / k2)).

Constants and variables: gz – acceleration of gravity on Earth (by condition we take gz = 9.8 m / s2); k1 is the ratio of the accelerations of gravity (k1 = 6 p); Rz is the radius of the Earth (Rz = 6371 km = 6371 * 10 ^ 3 m); k2 is the ratio of the radii of the bodies (k2 = 3.7 p).

Calculation: Vl1 = √ ((gz / k1) * (Rz / k2)) = √ ((9.8 / 6) * (6371 * 10 ^ 3 / 3.7)) = 1677 m / s.

Answer: The first cosmic velocity on the Moon, according to the calculation, is equal to 1677 m / s.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.