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.