Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.6 Force, Work, and Energy, #9 · Calculus · Applications of integrals

The force of gravity on a mass … is

The force of gravity on a mass $m$ is $F = - GM m / x^{2}$ . With $G = 6 \cdot 1 0^{- 17}$ and Earth mass $M = 6 \cdot 1 0^{24}$ and rocket mass $m = 1000$ , compute the work to lift the rocket from $x = 6400$ to $x = 6500$ . (The units are kgs and kms and Newtons, giving work in Newton-kms.)

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.6 Force, Work, and Energy, #9

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