The acceleration of the cart can be expressed as,
[tex]a=\frac{F}{m}[/tex]Plug in the known values,
[tex]\begin{gathered} a=\frac{390\text{ N}}{270\text{ kg}}(\frac{1kgm/s^2}{1\text{ N}}) \\ \approx1.44m/s^2 \end{gathered}[/tex]Thus, the magnitude of acceleration is 1.44 m/s^2. Since the force is applied in the north direction, therefore the direction of acceleration is in the north direction.
