Calculate the first space velocity for Venus if the mass of Venus is 4.9 * 10 ^ 24 kg and its radius is 6100 km.

Given: M = 4.9 * 10 ^ 24 kilograms;

R = 6400 kilometers;

Find: v -? (speed)

Decision:

Let’s derive the formula:

G * ((M * m) / R2) = (m * v2) / R; v = √ ((G * M) / R);

G = 6.67 * 10 ^ -11 – gravitational constant (in SI);

Let’s calculate:

v = √ ((6.67 * 10 ^ -11 * 4.9 * 10 ^ 24) / (6.1 * 10 ^ 6)) = 7.32 km / s;

Answer: the first space speed is 7.32 km / s.