A solid wood door $1\mathrm{.}00$ mm wide and $2\mathrm{.}00$ mm high is hinged along one side and has a total mass of $41\mathrm{.}0$ kgkg$.$ Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass $0\mathrm{.}700$ kgkg$,$ traveling perpendicular to the door at $14\mathrm{.}0$ m$/$sm$/$s just before impact.