### Problem DescriptionIn the figure, the fresh water behind a reservoir dam has a depth \( D = 13.4 \, \text{m} \). A horizontal pipe with a diameter of \( 4.39 \, \text{cm} \) passes through the dam at a depth \( d = 6.37 \, \text{m} \). A plug secures the pipe opening. #### (a) Find the magnitude of the frictional force between the plug and the pipe wall.**Input Fields:**- Number: [Input Box]- Units: [Dropdown Menu with "N"] #### (b) The plug is removed. What water volume exits the pipe in \( 2.92 \, \text{h} \)?**Input Fields:**- Number: [Input Box]- Units: [Dropdown Menu with "m\(^3\)"]### Diagram ExplanationThe accompanying diagram visually represents the given problem. It consists of:- A vertical section of the dam showing water depth from the top to the bottom.- A horizontal section of the pipe passing through the dam.- A plug depicted at the end of the pipe within the dam.- Measurements indicating the depth \( d \) at which the pipe is located and the total water depth \( D \).### Graphical Details- The top measurement of 13.4 m corresponds to the total depth of the water, indicated by a vertical arrow.- A horizontal line denotes the pipe passing through the dam.- The depth \( d = 6.37 \, \text{m} \) is indicated with another vertical arrow aligned with the pipe’s horizontal position.- The diagram also marks the plug securing the pipe opening.### Steps to Solve:#### (a) Frictional Force CalculationTo find the magnitude of the frictional force between the plug and the pipe wall:- Calculate the pressure at the depth where the pipe is located using \( P = \rho g h \).- Determine the force exerted by this pressure on the plug’s surface area.#### (b) Water Volume CalculationOnce the plug is removed:- Use Torricelli’s theorem to calculate the discharge velocity of the water.- Calculate the flow rate and multiply by the given time (2.92 hours converted to seconds).**Note:** Ensure that all units are consistent while performing calculations.### User Interaction for Solutions:Users

Given that, The depth of the damp is D=13.4 m. The diameter of…

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