Find the first space velocity for Mars if its mass is 6.4 × 10 ^ 23kg and the radius is 3.4 × 10 ^ 6m.

univerkov | September 16, 2021 | education

Data: M (mass of Mars) = 6.4 * 10 ^ 23 kg; R (radius of Mars) = 3.4 * 10 ^ 6 m; G (gravitational constant) = 6.67 * 10 ^ -11 m ^ 3 / (kg * s ^ 2).

To calculate the first cosmic velocity of Mars, we assume that an arbitrary body is on its surface.

V = √ (G * M / R) = √ (6.67 * 10 ^ -11 * 6.4 * 10 ^ 23 / (3.4 * 10 ^ 6)) = 3,543 m / s.

Answer: According to the calculation, the first space velocity of Mars is 3,543 m / s.

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