Use Newton's Law of Gravitation to compute the work required to launch a 1000-kg satellite vertically to an orbit 1000 km high. You may assume that Earth's mass is 5.98 x 1024 kg and is concentrated at its center. Take the radius of Earth to be 6.37 x 106 m and G = 6.67 x 10-11 N · m2/kg2.