Bonus Question Gravitation

**Bonus Question** Gravitation

A 1000kg rocket sits on the surface of a earth like (same mass and radius - no atmosphere) planet. When fired, the rocket engines produce a force of 25 000N. The rocket is designed to reach an altitude of 580 km before the fuel runs out. If 1/2 of the rockets initial mass is from fuel, then calculate the maximum velocity the rocket achieves.