Two toy cars are placed on a frictionless horizontal Linear AirTrack. Car $1$ has a mass M$1$ of $120$ g and Car $2$ has a mass M$2$ of $180$ g$.$ The two cars are set in motion to make a head$-$on collision as shown in the figure. Car $1$ is initially moving at $3\mathrm{.}60$ m$/$s to the right and Car $2$ is initially moving at $1\mathrm{.}40$ m$/$s to the left. Use the right direction as $+$x$.$ After they collide Car $1$ moves to the left at $1\mathrm{.}10$ m$/$s$.$ During the collision the cars remain in contact for only $0\mathrm{.}16$ s before separating. Determine the magnitude of the average force $($N$)$ that Car $1$ exerts on Car $2$ during the collision. Give answer to three places to the right of the decimal.