What is the escape velocity from the Moon for a lunar landing module sitting on the Moon's surface? Hints: $V _ { e } = \sqrt { \frac { 2 G M } { r } }$ ;
The mass of the Moon is 7.2 × 10²² kg; its radius is 1738 km; G = 6.67 10^-11 m³/s²/kg

Question

What is the escape velocity from the Moon for a lunar landing module sitting on the Moon's surface? Hints:

V _ { e } = \sqrt { \frac { 2 G M } { r } }

;
The mass of the Moon is 7.2 × 10²² kg; its radius is 1738 km; G = 6.67 10^-11 m³/s²/kg

Quizplus · Accepted Answer

The escape velocity is calculated using the formula $V _ { e } = \sqrt { \frac { 2 G M } { r } }$. Substituting the given values: $G = 6.67 \times 10^{-11} \, \text{m}^3/\text{s}^2/\text{kg}$, $M = 7.2 \times 10^{22} \, \text{kg}$, and $r = 1738 \times 10^3 \, \text{m}$, we find $V _ { e } \approx 2.3 \, \text{km/s}$.

What Is the Escape Velocity from the Moon for a Lunar