In order to calculate the weight of the astronaut, let's use the formula for the gravitational force:
[tex]F=\frac{G*M*m}{d^2}[/tex]Where G is the gravitational constant (G = 6.67 * 10^-11), M is the greater mass, m is the smaller mass and d is the distance between the masses.
So we have:
[tex]\begin{gathered} F=\frac{6.67*10^{-11}*1.99*10^{30}*74.7}{\left(6.955*10^8\right)^2} \\ F=\frac{991.5155*10^{19}}{48.372025*10^{16}} \\ F=20.4977*10^3 \\ F=20497.7\text{ N} \end{gathered}[/tex]Therefore the weight of the astronaut is 20497.7 N.
