All Problems

Universal Gravitation

Problem 1.232

What is the minimum work that has to be performed to bring a spaceship of mass \(m=2.0 \cdot 10^{3} \mathrm{~kg}\) from the surface of the Earth to the Moon?

Reveal Answer
 1.232. Aγm(M1/R1+M2/R2)=1.3108 kJ, where M and R are the mass and the radius of the Earth and the Moon. \begin{aligned} &\text { 1.232. } A \approx \gamma m\left(M_{1} / R_{1}+M_{2} / R_{2}\right)=1.3 \cdot 10^{8} \mathrm{~kJ}, \text { where } M \text { and }\\ &R \text { are the mass and the radius of the Earth and the Moon. } \end{aligned}