Determine v1 – the first cosmic velocity for Mercury, if its mass is M ~ 3.3 * 10 ^ 20 tons

Determine v1 – the first cosmic velocity for Mercury, if its mass is M ~ 3.3 * 10 ^ 20 tons, and the equatorial radius is R = 2440 km.

Problem data: G (gravitational constant) = 6.67 * 10 ^ -11 m3 / (kg * s2); Mm (mass of Mercury) = 3.3 * 1020 t = 3.3 * 10 ^ 23; Rm (equatorial radius) = 2240 km = 2240 * 10 ^ 3 m.

To calculate the first cosmic velocity of Mercury, we will use the formula: V = √ (G * Mm / Rm).

Let’s calculate: V = √ (6.67 * 10-11 * 3.3 * 10 ^ 23 / (2240 * 10 ^ 3)) = 3135 m / s or 3.135 km / s.

Answer: According to the calculation, the first cosmic speed for Mercury is 3.135 km / s.