All Problems

Universal Gravitation

Problem 1.230

A spaceship is launched into a circular orbit close to the Earth's surface. What additional velocity has to be imparted to the spaceship to overcome the gravitational pull?

Reveal Answer
1.230. \(\Delta v=\sqrt{g R}(\sqrt{2}-1)=3.27 \mathrm{~km} / \mathrm{s}\), where \(g\) is the standard free-fall acceleration, \(R\) is the radius of the Earth.