The cylindrical syringe has a diameter of $2$ cm for the plunger tube and a diameter of $0\mathrm{.}1$ cm for the needle . The wide part of the syringe is $2$ cm in diameter and the needle is $0\mathrm{.}1$ cm in diameter.

If the plunger is pushed with a force of $10$ N$,$  what force does the fluid exert on the cap over the needle tip?