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F = ma (Final Problems)
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FMA-2024-21 · 2024 F = ma (AAPT)

2024 F = ma Exam — Question 21

A syringe is filled with water of density ρ and negligible viscosity. Its body is a cylinder of cross-sectional area A1 , which gradually tapers into a needle with cross-sectional area A2 ≪ A1 . The syringe is held in place and its end is slowly pushed inward by a force F , so that it moves with constant speed v. Water shoots straight out of the needle’s tip. What is the approximate value of F ?
Source: Question 21, 2024 F = ma Exam, © 2024 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.