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2. Red Bordeaux wine ( Prte -0.984g/cm) is poured the right arm of a U-tube filled liquid mercury ( Wine Wine into %3D wine with 390cm- the Pmercuy =13.6 g/ cm') causing 6.00 cm raising mercury level on the left arm by 3.0 cm and the right arm dropping by 6.0 cm. Mercury Mercury (a) Circle the pressure equations in the table below which correctly identify the equal pressure points on the left arm and on the right arm. Circle the correct equations according the points labeled in figure c P P P Ps P P. P P, P P P Ps P-P Ps P: P Po P: Pr P P. P P (b) What is h, the height of the wine column in the left arm?

2. Red Bordeaux wine ( Prte -0.984g/cm) is poured the right arm of a U-tube filled liquid mercury ( Wine Wine into %3D wine with 390cm- the Pmercuy =13.6 g/ cm') causing 6.00 cm raising mercury level on the left arm by 3.0 cm and the right arm dropping by 6.0 cm. Mercury Mercury (a) Circle the pressure equations in the table below which correctly identify the equal pressure points on the left arm and on the right arm. Circle the correct equations according the points labeled in figure c P P P Ps P P. P P, P P P Ps P-P Ps P: P Po P: Pr P P. P P (b) What is h, the height of the wine column in the left arm?

College Physics
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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**Educational Content: Understanding Pressure Equations in a U-Tube** **Problem Statement:** Red Bordeaux wine (density \( \rho_{\text{wine}} = 0.984 \, \text{g/cm}^3 \)) is poured into the right arm of a U-tube filled with mercury (density \( \rho_{\text{mercury}} = 13.6 \, \text{g/cm}^3 \)). This results in the mercury level rising by 3.0 cm in the left arm and dropping by 6.0 cm in the right arm. **Task:** (a) Identify and circle the correct pressure equations from the table below, corresponding to the points labeled in Figure C, which equate the pressure points on the left and right arms. **Table for Pressure Equations:** | Possible Equations | |---------------------------| | \( P_1 = P_3 \) | | \( P_1 = P_3 \) | | \( P_1 = P_6 \) | | \( P_1 = P_2 \) | | \( P_2 = P_3 \) | | \( P_2 = P_6 \) | | \( P_2 = P_7 \) | | \( P_3 = P_5 \) | | \( P_3 = P_6 \) | | \( P_3 = P_7 \) | | \( P_3 = P_5 \) | | \( P_5 = P_7 \) | (b) Determine the height \( h \) of the wine column in the left arm. **Diagram Explanation:** The diagram shows a U-tube with three stages: 1. **Initial Stage**: Both sides contain mercury with an identical level. 2. **Second Stage**: Wine is added to the right arm, causing the right mercury column to drop by 6.0 cm and the left to rise by 3.0 cm. 3. **Final Stage**: The wine column's height in the right arm is shown as \( h \). Understanding the relationship between pressure and fluid height is key to solving part (b).
Transcribed Image Text:**Educational Content: Understanding Pressure Equations in a U-Tube** **Problem Statement:** Red Bordeaux wine (density \( \rho_{\text{wine}} = 0.984 \, \text{g/cm}^3 \)) is poured into the right arm of a U-tube filled with mercury (density \( \rho_{\text{mercury}} = 13.6 \, \text{g/cm}^3 \)). This results in the mercury level rising by 3.0 cm in the left arm and dropping by 6.0 cm in the right arm. **Task:** (a) Identify and circle the correct pressure equations from the table below, corresponding to the points labeled in Figure C, which equate the pressure points on the left and right arms. **Table for Pressure Equations:** | Possible Equations | |---------------------------| | \( P_1 = P_3 \) | | \( P_1 = P_3 \) | | \( P_1 = P_6 \) | | \( P_1 = P_2 \) | | \( P_2 = P_3 \) | | \( P_2 = P_6 \) | | \( P_2 = P_7 \) | | \( P_3 = P_5 \) | | \( P_3 = P_6 \) | | \( P_3 = P_7 \) | | \( P_3 = P_5 \) | | \( P_5 = P_7 \) | (b) Determine the height \( h \) of the wine column in the left arm. **Diagram Explanation:** The diagram shows a U-tube with three stages: 1. **Initial Stage**: Both sides contain mercury with an identical level. 2. **Second Stage**: Wine is added to the right arm, causing the right mercury column to drop by 6.0 cm and the left to rise by 3.0 cm. 3. **Final Stage**: The wine column's height in the right arm is shown as \( h \). Understanding the relationship between pressure and fluid height is key to solving part (b).
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