Determine the first space velocity if M = 3.33 * 10 ^ 23 r = 2440 km h = 940.

univerkov | September 22, 2021 | education

Initial data: M (planet mass, Mercury) = 3.33 * 10 ^ 23 kg; r (radius of Mercury) = 2440 km = 2440 * 10 ^ 3 m; h (height above the surface of the planet) = 940 m.

Constants: G (gravitational constant) = 6.67 * 10 ^ -11 m ^ 3 / (kg * s ^ 2).

The first space velocity of Mercury is determined by the formula: V = √ (G * M / (r + h)).

Let’s calculate: V = √ (6.67 * 10 ^ -11 * 3.33 * 10 ^ 23 / (2440 * 10 ^ 3 + 940)) = 3017 m / s.

Answer: The first cosmic speed is 3017 m / s.

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