?[T] The force of gravity on a mass m is \(F=-\left((G M m) / x^{2}\right)\) newtons

Chapter 6, Problem 245

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[T] The force of gravity on a mass m is \(F=-\left((G M m) / x^{2}\right)\) newtons. For a rocket of mass m=1000 kg, compute the work to lift the rocket from x=6400 to x=6500 km. (Note: \(G=6 \times 10^{-17} \mathrm{Nm}^{2} / \mathrm{kg}^{2}\) and \(\left.M=6 \times 10^{24} \mathrm{~kg} .\right)\)

Text Transcription:

F=-((GMm)/x^2)

G=6 times 10^-17 N m^2/kg^2

M=6 times 10^24 kg

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