Question

Calculate the escape velocity on the surface of the moon given the mass and radius of the moon to be $7.34\times {10}^{22}kg$ and $1.74\times {10}^{6}m$ respectively.

• A. $2.37km/s$
• B. $5.62km/s$
• C. $1.27km/s$
• D. $11.2km/s$

Answer 1

The correct option is A $2.37km/s$

Given:
$G=6.67\times 10-11N{m}^2/k{g}^2$,
mass of the moon $=M=7.34\times {10}^{22}kg$ and
radius of the moon$=R=1.74\times {10}^{6}m$.
Escape Velocity $=V_{esc}=\sqrt{\frac{2GM}{R}}$
$=\sqrt{\frac{2\times 6.67\times {10}^{-11}\times 7.34\times {10}^{22}}{1.74\times {10}^6}}$
Escape velocity on the moon $2.37km/s$.