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Q1_7B_W10_Rubric - Physics 7B W10 Quiz 1 Consider a...

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Physics 7B W10 Quiz 1 Consider a fluid (density ) filled syringe (a tube with cross sectional area A t leading to a much narrower hollow needle with cross sectional area A n ). Imagine that you hold the syringe horizontally in air and press the plunger to establish a steady-state flow with fluid leaving the end of the needle with velocity v . a) Suppose there is no friction in the syringe tube or needle. Comparing the fluid gauge pressure inside the body of the syringe and inside the needle, which is greater? Explain. Consider the energy density equation (Bernoulli’s equation). The g y term is zero as there is no height difference; the E pump term is zero because there is no pump between the body of the syringe and the needle; the IR term is zero because there is no resistance. Therefore, we have only P+(1/2)  (v 2 )=0. We know from continuity that the velocity of the fluid must be higher in the needle because it has a smaller cross section, therefore the pressure must be lower.
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