Answer:
[tex]g_h = -39.4\ m/s^2[/tex]
Explanation:
The formula for the value of the acceleration due to gravity at a height "h" from the surface of Earth is given as follows:
[tex]g_h = g(1-\frac{2h}{R} )[/tex]
where,
[tex]g_h[/tex] = acceleration due to gravity at height h from the surface of Earth = ?
g = acceleration due to gravity on the surface of the Earth = 9.81 m/s²
h = height from the surface of the Earth = 1.6 x 10⁷ m
R = Radius of the Earth = 6.378 x 10⁶ m
Therefore,
[tex]g_h = (9.81\ m/s^2)(1-\frac{2(1.6\ x\ 10^7\ m)}{6.378\ x\ 10^6\ m})[/tex]
[tex]g_h = -39.4\ m/s^2[/tex]
