1) A 7,000 rocket is shot straight up from the Earth's surface with an initial speed of 700 m/s. How high does it go? (Answer in kilometers.)
2) A rocket of mass m = 7,000 kg is launched straight up from the Earth's surface with a speed of 13,000 m/s. What is its speed when it is very far away from Earth? (Answer in units of m/s.)
3) A satellite of mass m = 5800 kg orbits the Earth at an altitude h1 = 159 km. It is desired to increase the altitude of the orbit to h2 = 742 km. How much energy must be added to the system to make this change?