A space vehicle is orbiting Earth in a circular orbit with a radius of 10,300,000m. What is the minimum increase in speed that is needed for the vehicle to escape Earth's gravitational field? The mass of the Earth is 5.97x10^24 kg and G = 6.67x10^-11 N*m^2/kg^2.
The answer is 2580 m/s but how do you get to that conclusion?