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A syringe is a simple reciprocating pump that consists of a plunger that fits tightly within a cylindrical tube called a barrel, and the open end of the tube, called the shaft of the needle. The plunger can be linearly pulled and pushed along the inside of the tube, allowing the syringe to take in and expel liquid at the shaft of the needle. Typical needles have a 12 mm diameter barrel and a 2.5 mm diameter needle shaft. Syringes are frequently used in clinical medicine to administer injections. If a nurse is administering an injection to a patient, and applies a 4.0 N force to the plunger, what force is need to prevent fluid flow at the needle shaft?

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