Find the first space velocity for a planet with a mass of 9 earth masses and a radius four times the earth.

univerkov | September 30, 2021 | education

Task data: M (planet mass) = 9Mz; R (planet radius) = 4Rz.

Reference data: M (mass of the Earth) = 5.97219 * 10 ^ 24 kg; Rz (radius of the Earth) = 6356863 m; G (gravitational constant) = 6.67 * 10 ^ -11 m3 / (s2 * kg).

The first space velocity for a planet with given parameters is determined by the formula: V = √ (G * M / R).

Let’s calculate: V = √ (6.67 * 10 ^ -11 * 9 * 5.97219 * 10 ^ 24 / (4 * 6356863)) = 11 874 m / s.

Answer: The first space velocity for a planet with given parameters is 11 874 m / s.

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