A $2\mathrm{.}4-$NN force is applied to the plunger of a hypodermic needle. The diameter of the plunger is $1\mathrm{.}6$ cm and that of the needle is $0\mathrm{.}20$ mm$.$ What force on the plunger would be needed to push fluid into a vein where the gauge pressure is $55$ mm$-$Hg$?$ Answer for the instant just before the fluid starts to move.