How much work is required to lift a 700-kg satellite to an altitude of $3\cdot 10^6$ m above the surface of the Earth? The gravitational force is $F=GMm/r^2$, where $M$ is the mass of the Earth, $m$ is the mass of the satellite, and $r$ is the distance between the satellite and the Earth's center. The radius of the Earth is $6.4\cdot 10^6$ m, its mass is $6\cdot 10^{24}$ kg, and in these units the gravitational constant, $G$, is $6.67\cdot 10^{-11}.$

Work =
(include units; for this problem assume all given constants are accurate to many significant figures.)