Determine the first space velocity of a planet with a mass of 1.8×10 ^ 26 kg and a radius of 58000 km.

univerkov | February 16, 2021 | education

To find out the first cosmic speed of the represented planet, consider the formula: V1 = √ (G * Mpl / Rpl), where G is the gravitational constant (const; G ≈ 6.674 * 10 ^ -11 m2 / (s2 * kg)); Mpl is the mass of the represented planet (Mpl = 1.8 * 10 ^ 26 kg); Rpl – the radius of the planet (Rpl = 58000 km = 58 * 10 ^ 6 m).

Let’s perform the calculation: V1 = √ (G * Mpl / Rpl) = √ (6.674 * 10 ^ -11 * 1.8 * 10 ^ 26 / (58 * 10 ^ 6)) ≈ 14391.8 m / s ≈ 14.4 km / s.

Answer: The first space velocity of the presented planet is 14.4 km / s.

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