A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite = 200 kg; mass of the earth = 6.0×1024 kg; radius of the earth = `6.4 × 10^6` m; G = `6.67 × 10^(–11)` N `m^2` `kg^(–2)`.