You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part.
A satellite of mass 6500 kg orbits the Earth in a circular orbit of radius of 8.4 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 1024...
The radius of Mercury (from the center to just above the atmosphere) is 2440 km (2440103 m), and its mass is 0.31024 kg. An object is launched straight up from just above the atmosphere of Mercury.
(a) What initial speed is needed so that when the object is far from Mercury its final speed is...
A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.5 1010 m (inside the orbit of Mercury), at which point its speed is 8.9 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 1012 m from...