Three boxes rest side$-$by$-$side on a smooth, horizontal floor. Their masses are $5\mathrm{.}0$ kg $,3\mathrm{.}0$ kg $,$ and $2\mathrm{.}0$ kg $,$ with the $3\mathrm{.}0-kg$ mass in the center. A force of $50$ N pushes on the $5\mathrm{.}0-kg$ mass, which pushes against the other two masses. What is the contact force between the $3\mathrm{.}0-kg$ mass and the $2\mathrm{.}0-kg$ mass?

$10$ N

$50$ N

$25$ N

$40$ N

$0$ N