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Classical Mechanics

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Moderate

Potential Energy of the ISS

CLMECH-TUJYEQ

This problems asks you to calculate the Gravitational Potential Energy of the International SpaceStation (ISS). The Earth has a radius of $6370 \space km$, and a mass of $5.97 \times 10^{24} \space kg$ and the ISS has an orbital height above the surface of the earth of $4.00 \times 10^{2} km$, and a mass of $3.7\times 10^{5}\space kg$. Treat the zero potential energy as being the center of the Earth. You may assume the Earth is a sphere of uniform density.

A

$2.18 \times 10^{13} J$

B

$2.31 \times 10^{13} J$

C

$3.22 \times 10^{6} J$

D

$3.20 \times 10^{9} J$