Answer to Question #282892 in Mechanics | Relativity for Nax

Question

What is gravitational accelearation.

Answer 1

Gravitational acceleration $g$ is the rate of change of speed of a body with mass $m$ released in the gravitational field of another object with mass $M$. The gravitational acceleration can be found by Newton's law of universal gravitation in terms of distance between the centers of mass of the objects $R$, mass of the object that creates the gravitational field, and universal gravitational constant $G$:

$$mg=G\dfrac{Mm}{R^2},\\\space\\ g=\dfrac{GM}{R^2}.$$