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 surface of the planet is g = 26m / s².

Answer 1

We can find the first cosmic velocity from the formula:

$$v=\sqrt{\dfrac{GM}{R}},$$ $$v=\sqrt{\dfrac{6.67\cdot10^{-11}\ \dfrac{Nm^2}{kg^2}\cdot1.89\cdot10^{27}\ kg}{7\cdot10^7\ m}}=42.4\ \dfrac{km}{s}.$$

Answer:

$v=42.4\ \dfrac{km}{s}.$