Physics

Problem

65\,\text{kg}

astronaut is in low-Earth orbit

400\,\text{km}

above the surface. Using

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

M_E = 5.97\times10^{24}\,\text{kg}

, and

R_E = 6.37\times10^{6}\,\text{m}

, determine the gravitational force exerted on the astronaut at this altitude. Give your answer in newtons to two significant figures.