To solve this problem it is necessary to apply the definition of severity of Newtonian laws in which it is specified that gravity is defined by
[tex]g= \frac{GM}{R^2}[/tex]
Where
G= Gravitational Constant
M = Mass of Earth
R= Radius from center of the planet
According to the information we need to find the gravity 350km more than the radius of Earth, then
[tex]g_{ss} = \frac{GM}{R+h^2}[/tex]
[tex]g_{ss} = \frac{6.67*10^{-11}*5.972*10^{24}}{(6371*10^3+350*10^3)^2}[/tex]
[tex]g_{ss} = 8.82m/s^2[/tex]
Therefore the gravitational acceleration at 350km is [tex]8.82m/s^2[/tex]