Step-by-step explanation:
Hey there!
Given;
Mass of the Earth (M) = 6.0*10^24kg.
Radius of Earth (R) = 6400km = 6400*1000= 6.4*10^6.
Gravitational constant (G) = 6.67*10^-11Nm^2/kg^2.
Height from surface of Earth (h) = 350km= 3.5*10^5m
Gravity (g) = ?
We have;
![g = \frac{G.M}{ {(R + h)}^(2) }](https://img.qammunity.org/2021/formulas/physics/high-school/be27tm3c3vdlj9o0dtjy8cin7gsk52ofnv.png)
Where "G" is gravitational constant, "M" is mass of earth, "g" is acceleration due to gravity, "h" height from surface of Earth.
Keep all values.
![g = \frac{6.67 * {10}^( - 11) * 6.0 * {10}^(24) }{ (6.4 * {10}^(6) + 3.5 * {10}^(5) )^2}](https://img.qammunity.org/2021/formulas/physics/high-school/nsds10n5bsxwakn1i4fpdadt32epkdpmv2.png)
![or \: g = \frac{40.002* {10}^(13) }{ (6.4* {10}^(6) + 3.5*10^5)^2}](https://img.qammunity.org/2021/formulas/physics/high-school/casbiqhivl55qnesyv4jc1nudsfrfb0ovm.png)
g = 8.7m/s^2
Therefore, gravity from distance 350km above the Earth's surface is 8.7m/s^2.
Hope it helps...