---### Physics Problem: Calculating Pressure and Force Underwater**Problem 9:****(a)** Calculate the absolute pressure at the bottom of a freshwater lake at a depth of 30.8 m. Assume the density of the water is 1,000 kg/m³ and the air above is at a pressure of 101,300 Pa.**(b)** Calculate the force exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 29.5 cm.---#### Explanation:This problem involves understanding the concepts of fluid mechanics, specifically pressure and force in a fluid. To solve part (a), you will use the formula for calculating the absolute pressure at a certain depth in a fluid. For part (b), you will use the calculated pressure to determine the force exerted on the window of the vehicle.1. **Absolute Pressure Calculation (Part a)**The absolute pressure at a given depth in a fluid can be calculated with the following formula:\[ P_{\text{absolute}} = P_{\text{atm}} + \rho g h \]where:- \( P_{\text{absolute}} \) is the absolute pressure.- \( P_{\text{atm}} \) is the atmospheric pressure (101,300 Pa in this case).- \( \rho \) is the density of the fluid (1,000 kg/m³ for freshwater).- \( g \) is the acceleration due to gravity (approximately 9.8 m/s²).- \( h \) is the depth of the fluid (30.8 m in this case).2. **Force on the Window (Part b)**The force exerted by the water on the window can be found using the formula:\[ F = P \cdot A \]where:- \( F \) is the force.- \( P \) is the pressure at the given depth (calculated in part a).- \( A \) is the area of the window.The area \( A \) of a circular window is given by:\[ A = \pi \left(\frac{d}{2}\right)^2 \]where \( d \) is the diameter of the window (29.5 cm, converted to meters as 0.295 m).By solving these equations, you will be able to determine the desired absolute pressure and the force on the window at the specified depth

Name: ---### Physics Problem: Calculating Pressure and Force Underwater**Pr
Uploaded: 2022-11-23T13:49:28.000Z
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Description: ---### Physics Problem: Calculating Pressure and Force Underwater**Problem 9:****(a)** Calculate the absolute pressure at the bottom of a freshwater lake at a depth of 30.8 m. Assume the density of the water is 1,000 kg/m³ and the air above is at a