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A hypodermic syringe is attached to a needle that has an internal radius of 0.300 millimeter and a length of 3.02 centimeter. The needle is filled with a solution of viscosity 2.02 x 10-3 Pa •s; it is injected into a vein at a gauge pressure of 16.4 millimeter Hg. Neglect the extra pressure required to accelerate the fluid from the syringe into the entrance of the needle.

(a) Find what must the pressure of the fluid in the syringe be in order to inject the solution at a rate of 0.253 mL/s?

(b) Find what force must be applied to the plunger, which has an area of 1.02 cm2?

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