In Armageddon Bruce Willis and the boys land on an asteroid so as to blow it up and save the planet. Asteroid Ceres has a radius of 287 km and a mass of 9.4X10^20 kg.
1. What is the value of g at the surface?
2. How fast would you have to run to put yourself into orbit?
3. What is the value of g at a radius of 2000 km.
4. What would be the orbital period of a probe in that orbit?
5. What would be the speed of the probe?