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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.6 Force, Work, and Energy, #10 · Calculus · Applications of integrals

The approximate work to lift a 30-pound suitcase 20 feet is 600…

The approximate work to lift a 30-pound suitcase 20 feet is 600 foot-pounds. The exact work is the change in the potential energy $V = - GM m / x$ . Show that $Δ V$ is 600 times a correction factor $R^{2} / (R + 10)^{2}$ , when $x$ changes from $R - 10$ to $R + 10$ . (This factor is practically 1, when $R$ = radius of the Earth.)

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.6 Force, Work, and Energy, #10

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