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Illustration Gravitational force (weight) acts on a mass

Gravitational force (weight) acts on a mass
Falling force (weight) acts on a mass
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On a mass \(m\) (e.g. apple) acts gravitational force (weight) \(\boldsymbol{F}_{\text g}\) which pulls the apple towards the earth. Because of the relation \(\boldsymbol{F}_{\text g} = m \, \boldsymbol{g}\) also the gravitational acceleration \( \boldsymbol{g} \) points in the same direction as the gravitational force.

The magnitude \(g\) of the acceleration vector \( \boldsymbol{g} \) corresponds on Earth to the value: \( g = 9.8 \, \mathrm{m}/\mathrm{s}^2 \).