### Example Problem: Pressure and Force at Depth**Problem Statement:**(a) Calculate the absolute pressure at the bottom of a freshwater lake at a depth of 32.6 meters. Assume the density of water is 1.00 × 10³ kg/m³ and the air above is at a pressure of 101.3 kPa.**Answer:**\[ 421106\ \text{Pa} \]**Detailed Explanation and Solution:**The absolute pressure at a certain depth underwater can be calculated using the formula:\[ P = P_0 + \rho g h \]where:- \( P \) is the absolute pressure at depth,- \( P_0 \) is the atmospheric pressure at the surface (101.3 kPa or 101300 Pa),- \( \rho \) is the density of the water (1.00 × 10³ kg/m³),- \( g \) is the acceleration due to gravity (9.81 m/s²),- \( h \) is the depth of the water (32.6 m).Using the given values in the formula:\[ P = 101300\ \text{Pa} + (1.00 \times 10^3\ \text{kg/m}^3 \times 9.81\ \text{m/s}^2 \times 32.6\ \text{m}) \]\[ P = 101300\ \text{Pa} + 319806\ \text{Pa} \]\[ P = 421106\ \text{Pa} \]So, the absolute pressure at the bottom of the lake is 421106 Pa.---(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 33.0 cm?**Original User Response:**\[ 143995.51\ \text{N} \]**Feedback:**Your response differs from the correct answer by more than 100%.**Detailed Explanation and Solution:**To calculate the force exerted on the window, we need to use the formula:\[ F = P \times A \]where:- \( F \) is the force exerted,- \( P \) is the pressure at depth (calculated as 421106 Pa),- \( A \) is the area of the circular window.First,

Name: ### Example Problem: Pressure and Force at Depth**Problem Statement:*
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Description: ### Example Problem: Pressure and Force at Depth**Problem Statement:**(a) Calculate the absolute pressure at the bottom of a freshwater lake at a depth of 32.6 meters. Assume the density of water is 1.00 × 10³ kg/m³ and the air above is at a pressur

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a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 32.6 m. Assume the density of the water is 1.00 x 10³ kg/m³ and the a 421106 Pa b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 33.0 cm? 143995.51 x 'our response differs from the correct answer by more than 100%. N Need Heln? Read It

a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 32.6 m. Assume the density of the water is 1.00 x 10³ kg/m³ and the a 421106 Pa b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 33.0 cm? 143995.51 x 'our response differs from the correct answer by more than 100%. N Need Heln? Read It

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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