Write the equation of acceleration due to gravity at a height $h$ from the surface of the Earth,where $h << R_e$.
(N/A) The acceleration due to gravity at a height $h$ above the surface of the Earth is given by the formula:
$g_h = g \left( 1 + \frac{h}{R_e} \right)^{-2}$
Using the binomial expansion for $h << R_e$,we can approximate this as:
$g_h \approx g \left( 1 - \frac{2h}{R_e} \right)$
Where $g$ is the acceleration due to gravity at the surface of the Earth,$h$ is the height,and $R_e$ is the radius of the Earth.
$g_h = g \left( 1 + \frac{h}{R_e} \right)^{-2}$
Using the binomial expansion for $h << R_e$,we can approximate this as:
$g_h \approx g \left( 1 - \frac{2h}{R_e} \right)$
Where $g$ is the acceleration due to gravity at the surface of the Earth,$h$ is the height,and $R_e$ is the radius of the Earth.
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