(Solved): The figure shows a spring with a spring constant k=220N/m. The spring is attached to both the sup ...

The figure shows a spring with a spring constant $\mathrm{k}=220\mathrm{N}/\mathrm{m}$. The spring is attached to both the support (left side) and the mass $M$. The mass is a $2\mathrm{kg}$ cylinder, which slides freely on the horizontal guide. If a constant force $P=36.6\mathrm{N}$ is applied to the cylinder at time $t=0$ seconds when the spring is undeformed and the system is at rest. Determine the velocity of the cylinder when $x=40\mathrm{mm}$. Give your answer in $\mathrm{m}/\mathrm{s}$ (do not include the units).