5. Bernoulli II. The fresh water behind a reservoir dam is 15.2 m deep. A horizontal pipe 4.30 cm in diameter passes through the dam 6.15 m below the water surface, as shown in the figure. A plug secures the pipe opening. The plug is removed. What volume of water flows out of the pipe in 3 hours? 6.15 m 15.2 m

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**5. Bernoulli II.** The fresh water behind a reservoir dam is 15.2 m deep. A horizontal pipe 4.30 cm in diameter passes through the dam 6.15 m below the water surface, as shown in the figure. A plug secures the pipe opening. The plug is removed. What volume of water flows out of the pipe in 3 hours?

**Diagram Explanation:**

The diagram illustrates a cross-section of a reservoir with a dam. It includes:

- The dam on the right side holding back a body of water.
- A horizontal pipe running through the dam, with a diameter of 4.30 cm.
- The water surface is indicated at the top of the reservoir.
- The depth from the water surface to the bottom of the dam is marked as 15.2 m.
- The distance from the water surface to the pipe is labeled as 6.15 m.
- The pipe is initially plugged at its opening outside the dam.

The diagram visually represents the scenario described in the text, highlighting the important measurements necessary to solve the problem using Bernoulli's principle and fluid dynamics.
Transcribed Image Text:**5. Bernoulli II.** The fresh water behind a reservoir dam is 15.2 m deep. A horizontal pipe 4.30 cm in diameter passes through the dam 6.15 m below the water surface, as shown in the figure. A plug secures the pipe opening. The plug is removed. What volume of water flows out of the pipe in 3 hours? **Diagram Explanation:** The diagram illustrates a cross-section of a reservoir with a dam. It includes: - The dam on the right side holding back a body of water. - A horizontal pipe running through the dam, with a diameter of 4.30 cm. - The water surface is indicated at the top of the reservoir. - The depth from the water surface to the bottom of the dam is marked as 15.2 m. - The distance from the water surface to the pipe is labeled as 6.15 m. - The pipe is initially plugged at its opening outside the dam. The diagram visually represents the scenario described in the text, highlighting the important measurements necessary to solve the problem using Bernoulli's principle and fluid dynamics.
Expert Solution
Step 1

First, calculate the speed at which water streams out through the pipe.

v2=u2+2asv2=0+2ghv=2gh=29.8 m/s26.15 m=11.0 m/s  

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