Answer to Question #134727 in Mechanics | Relativity for Afraid

Question

Write down value of acceleration for free falling body.

Answer 1

Let us consider the forces acting on the falling body. If we neglect the force of air resistance, we consider only the gravitational force that is equal to

$F=G\cdot\dfrac{mM_{\oplus}}{(R_{\oplus} +h)^2} ,$where h is the height above the ground.

F=ma, so

$a=G\cdot\dfrac{M_{\oplus}}{(R_{\oplus} +h)^2}$.

If h=0, the acceleration is $g=9.81\,\mathrm{m/s^2}.$