Three forces F _ 1 = 10N, F _ 2 = 8N, F _ 3 = 6N are acting on a...

When the force ${F}_{1}$ is removed, the particle starts accelerating because of the resultant force between ${F}_{2}$ and ${F}_{3}$.

The resultant force can be calculated as follows:

$\begin{cases}F & = & \sqrt{{{F}_{2}}^{2} + {{F}_{3}}^{2}} \\ & = & 10N\end{cases}$

Hence, the acceleration of the particle is given by

$\begin{cases}a & = & \dfrac{10N}{5kg} \\ = & 2m{s}^{– 2}\end{cases}$