A veterinarian uses a hypodermic syringe like the one shown in the figure to inject a horse with a medical solution with a density that is the same as water. The barrel of the syringe has a cross-sectional area of 3.33 × 10-5 m² and before she exerts any force on the plunger, the pressure everywhere in the syringe is 1.00 atm. When she exerts a force with a magnitude of 2.55 N on the plunger, the medical solution squirts horizontally from the needle. Determine the speed of the solution as it leaves the needle. m/s F P₁ A₂

A veterinarian uses a hypodermic syringe like the one shown in the figure to inject a horse with a medical solution with a density that is the same as water. The barrel of the syringe has a cross-sectional area of 3.33 × 10-5 m² and before she exerts any force on the plunger, the pressure everywhere in the syringe is 1.00 atm. When she exerts a force with a magnitude of 2.55 N on the plunger, the medical solution squirts horizontally from the needle. Determine the speed of the solution as it leaves the needle. m/s F P₁ A₂

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Transcription:**

A veterinarian uses a hypodermic syringe like the one shown in the figure to inject a horse with a medical solution with a density that is the same as water. The barrel of the syringe has a cross-sectional area of \(3.33 \times 10^{-5} \, \text{m}^2\) and before she exerts any force on the plunger, the pressure everywhere in the syringe is 1.00 atm. When she exerts a force with a magnitude of 2.55 N on the plunger, the medical solution squirts horizontally from the needle. Determine the speed of the solution as it leaves the needle.

\[ \_\_\_\_\_ \text{m/s} \]

**Diagram Explanation:**

The diagram shows a syringe with a plunger on the left side, labeled with a force \( \vec{F} \) directed to the right. The syringe barrel has a cross-sectional area \( A_1 \) and pressure \( P_1 \). The needle on the right side of the syringe has a smaller cross-sectional area \( A_2 \), with fluid exiting at speed \( \vec{v}_2 \) and under pressure \( P_2 \).

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