Answer:
8.829 m/s²
Explanation:
M = Mass of Earth
m = Mass of Exoplanet
[tex]g_e[/tex] = Acceleration due to gravity on Earth = 9.81 m/s²
g = Acceleration due to gravity on Exoplanet
[tex]m=M-0.1M\\\Rightarrow m=0.9M[/tex]
[tex]g_e=G\frac{M}{r^2}[/tex]
[tex]g=G\frac{0.9M}{r^2}[/tex]
Dividing the equations we get
[tex]\frac{g}{g_e}=\frac{G\frac{0.9M}{r^2}}{G\frac{M}{r^2}}\\\Rightarrow \frac{g}{g_e}=0.9\\\Rightarrow g=0.9g_e\\\Rightarrow g=0.9\times 9.81\\\Rightarrow g=8.829\ m/s^2[/tex]
Acceleration due to gravity on the surface of the Exoplanet is 8.829 m/s²
