Calculate the altitude above Earth’s surface of a satellite that remains fixed over…

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Calculate the altitude above Earth’s surface of a satellite that remains fixed over one point on the equator. Take

M_{\oplus}=6.0\times10^{24}\,\text{kg}

R_{\oplus}=6.4\times10^{6}\,\text{m}

G=6.67\times10^{-11}\,\text{N\,m}^{2}\text{kg}^{-2}

and Earth’s rotation period

T=24\,\text{h}