A remote-sensing satellite orbits Earth at an altitude of above the surface

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

Problem

A remote-sensing satellite orbits Earth at an altitude of

300\,\text{km}

above the surface. Given Earth’s radius

R_E = 6.37 \times 10^{6}\,\text{m}

and

GM_E = 3.986 \times 10^{14}\,\text{m}^3\text{s}^{-2}

, calculate its orbital speed in

\text{km\,s}^{-1}

(answer correct to two significant figures).