# Gravitational pull vs. acceleration due to gravity

It might seem obvious but i can't imagine how is gravitational pull is different from acceleration due to gravity?

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Typically "gravitational force" is defined as $$F = G\frac{Mm}{r^2}$$ Dividing both sides by $m$ we get $$\frac{F}{m} = G\frac{M}{r^2}$$ $\frac{F}{m}$ is acceleration and a gravitational field will accelerate any "free to fall" object within that field at the acceleration of that field irrespective of the mass of the object. Gravitation is not a force but an acceleration