Question

Calculate the first cosmic velocity for the planet Jupiter. The radius of Jupiter is R = 7 × 10⁴ km, while the acceleration of free fall near the planet's surface is g = 26 m / s

Answer 1

The first cosmic velocity is given as:

$$v_1 = \sqrt{gR}$$

where $g= 26m/s^2$ is the free fall nearJupiter's surface, and $R = 7\times 10^4km = 7\times 10^7m$ is the radius of Jupiter. Thus, obtain:

$$v_1 = \sqrt{26\cdot 7\times 10^7} \approx 42661.5m/s$$

Answer. 42661.5 m/s.