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# Explain why the fluid reaches equal levels on either side

ISBN: 9780130606204 3

## Solution for problem 25CQ Chapter 11

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 25CQ

Explain why the fluid reaches equal levels on either side of a manometer if both sides are open to the atmosphere, even if the tubes are of different diameters.

Step-by-Step Solution:

Step-by-step solution Step 1 of 2 Absolute pressure on any object equals the sum of atmospheric pressure and gauge pressure. Step 2 of 2 In a manometer if both sides are open to the atmosphere, then the atmospheric pressure is equally pushes down on each side, therefore the effect of atmospheric pressure cancels out. When fluid level is uneven then because of greater pressure face by the deeper side, the fluid flow from deeper side to other side till to the fluid reaches same level. What force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on the slave cylinder The master cylinder has a 2.00-cm diameter and the slave has a 24.0-cm diameter. Step-by-step solution Step 1 of 7 In the hydraulic lift, the pressure is same on the master and the slave cylinder but force changes with the change in cross section area. Step 2 of 7 Since, the Pascal’s principle is applicable for the hydraulic system. Therefore, …… (1) Here, is force applied to master cylinder, is cross sectional area of master cylinder, is force created at each of the slave cylinder and is cross sectional area of slave cylinder. Step 3 of 7 Force created at the slave cylinder due to 2000kg car is, Here, is the mass and is gravity. Step 4 of 7 Substitute , in the equation.

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