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title: "Two points, \\( A \\) and \\( B \\), are in a pipe carrying a flowing ideal fluid. Point \\( B \\) is \\( 2.0 \\) \\( \\text{m} \\) higher than point \\( A \\), and the fluid speed at \\( B \\) is twice the speed at \\( A \\). If the pressure at \\( A \\) is \\( P_A \\), which of the following expressions correctly represents the pressure at \\( B \\) \\( (P_B) \\)?"
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url: "https://nerd-notes.com/ubq/107163/"
date_modified: "2026-03-17T01:47:08+00:00"
---

# Two points, \( A \) and \( B \), are in a pipe carrying a flowing ideal fluid. Point \( B \) is \( 2.0 \) \( \text{m} \) higher than point \( A \), and the fluid speed at \( B \) is twice the speed at \( A \). If the pressure at \( A \) is \( P_A \), which of the following expressions correctly represents the pressure at \( B \) \( (P_B) \)?

Two points, \( A \) and \( B \), are in a pipe carrying a flowing ideal fluid. Point \( B \) is \( 2.0 \) \( \text{m} \) higher than point \( A \), and the fluid speed at \( B \) is twice the speed at \( A \). If the pressure at \( A \) is \( P_A \), which of the following expressions correctly represents the pressure at \( B \) \( (P_B) \)?

- **A.** \[ P_A + \dfrac{3}{2} \rho v_A^{2} + 2 \rho g \]
- **B.** \[ P_A  –  \dfrac{1}{2} \rho v_A^{2} – 2 \rho g \]
- **C.** \[ P_A  – \dfrac{3}{2} \rho v_A^{2} \]
- **D.** \[ P_A  –  \dfrac{3}{2} \rho v_A^{2} – 2 \rho g \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107163/*