A hypodermic syringe has a plunger area of 2.5 cm$\displaystyle ^2$and a 5.0 x 10$\displaystyle ^-3$ -cm$\displaystyle ^2$ needle. (a) If a 1.0 N force is applied to the plunger, what is the gauge pressure in the syringe's chamber? (b) If a small obstruction is at the end of the needle, what force does the fluid exert on it? (c) If the blood pressure in a vein is 50mm Hg, what force must be applied on the plunger so that fluid can be injected into the vein?