Answer:
Acceleration due to gravity will be [tex]a=2.45 m/s^{2}[/tex].
Explanation:
We can use the gravitational force equation:
[tex]F_{g}=G\frac{mM_{e}}{R^{2}}[/tex]
The F is equal to the weight of the astronaut, so we will have:
[tex]ma=G\frac{mM_{e}}{R^{2}}[/tex]
[tex]a=G\frac{M_{e}}{R^{2}}[/tex]
But the distance between the astronaut and the center of the earth is 2R, then we have:
[tex]a=6.67*10^{-11}\frac{5.972*10^{24}}{(2*6.377*10^{6})^{2}}[/tex]
Therefore the acceleration due to gravity will be [tex]a=2.45 m/s^{2}[/tex].
I hope it helps you!
