Question

Two forces act on an object (mass = 3.45 kg), as in the drawing. Find the magnitude and direction (relative to the x axis) of the acceleration of the object.

Answer 1

The magnitude of the force can be found using Pythagorean theorem\[F=\sqrt{40^2+60^2}=72.11 N\]
The acceleration is then a=F/m
The direction is found from trigonometry
\[\theta=\tan^{-1} (60/40)\]