A large tank of water has a hose connected to it, as hown in (Figure 1). The tank is sealed at the top and mas compressed air between the water surface and the op. When the water heighth has the value 3.50 m, the absolute pressure p of the compressed air is 1.20 x 105 Pa. Assume that the air above the water expands at constant temperature, and take the atmospheric pressure to be 1.00 x 105 Pa. gure T < 1 of 1 What is the speed with which water flows out of the hose when h = 3.50 m? Express your answer in meters per second. v = 26.2 m/s Submit Previous Answers ✓ Correct Part B As water flows out of the tank. h decreases. Calculate the speed of flow for h = 3.10 m.

icon
Related questions
Question
### Transcription and Explanation for Educational Website

#### Description
A large tank of water has a hose connected to it, as shown in the figure. The tank is sealed at the top and has compressed air between the water surface and the top. When the water height \( h \) is 3.50 m, the absolute pressure \( p \) of the compressed air is \( 4.20 \times 10^5 \, \text{Pa} \). Assume that the air above the water expands at a constant temperature and take the atmospheric pressure to be \( 1.00 \times 10^5 \, \text{Pa} \).

#### Diagram Explanation
In the figure, there is a cylindrical tank filled with water. The depth of the water is marked \( h \). The compressed air above the water is shown with pressure \( p \). The total height of the tank is 4.00 meters, with the hose exit point 1.00 meter below the water level at its highest point.

#### Part A
**Question:** What is the speed with which water flows out of the hose when \( h = 3.50 \, \text{m} \)?

**Answer:** Express your answer in meters per second.

- Calculated speed \( v = 26.2 \, \text{m/s} \)

The calculation is verified as correct.

#### Part B
**Question:** As water flows out of the tank, \( h \) decreases. Calculate the speed of flow for \( h = 3.10 \, \text{m} \).

**Answer:** Express your answer in meters per second.

- Calculated speed \( v = 16.1 \, \text{m/s} \)

The answer can be submitted for verification or further assistance.
Transcribed Image Text:### Transcription and Explanation for Educational Website #### Description A large tank of water has a hose connected to it, as shown in the figure. The tank is sealed at the top and has compressed air between the water surface and the top. When the water height \( h \) is 3.50 m, the absolute pressure \( p \) of the compressed air is \( 4.20 \times 10^5 \, \text{Pa} \). Assume that the air above the water expands at a constant temperature and take the atmospheric pressure to be \( 1.00 \times 10^5 \, \text{Pa} \). #### Diagram Explanation In the figure, there is a cylindrical tank filled with water. The depth of the water is marked \( h \). The compressed air above the water is shown with pressure \( p \). The total height of the tank is 4.00 meters, with the hose exit point 1.00 meter below the water level at its highest point. #### Part A **Question:** What is the speed with which water flows out of the hose when \( h = 3.50 \, \text{m} \)? **Answer:** Express your answer in meters per second. - Calculated speed \( v = 26.2 \, \text{m/s} \) The calculation is verified as correct. #### Part B **Question:** As water flows out of the tank, \( h \) decreases. Calculate the speed of flow for \( h = 3.10 \, \text{m} \). **Answer:** Express your answer in meters per second. - Calculated speed \( v = 16.1 \, \text{m/s} \) The answer can be submitted for verification or further assistance.
### Part C

**Calculate the speed of flow for \( h = 2.10 \, \text{m} \).**

**Express your answer in meters per second.**

- Input field: \( v = \) 5.47 \( \text{m/s} \)

- Action buttons include:
  - Submit
  - Previous Answers
  - Request Answer

- Feedback: 
  - **Incorrect; Try Again; 4 attempts remaining**

### Part D

**At what value of \( h \) does the flow stop?**

**Express your answer in meters.**

- Input field: \( h = \) ____ m

- Branding: Pearson logo at the bottom. 

No graphs or diagrams are presented in this image.
Transcribed Image Text:### Part C **Calculate the speed of flow for \( h = 2.10 \, \text{m} \).** **Express your answer in meters per second.** - Input field: \( v = \) 5.47 \( \text{m/s} \) - Action buttons include: - Submit - Previous Answers - Request Answer - Feedback: - **Incorrect; Try Again; 4 attempts remaining** ### Part D **At what value of \( h \) does the flow stop?** **Express your answer in meters.** - Input field: \( h = \) ____ m - Branding: Pearson logo at the bottom. No graphs or diagrams are presented in this image.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer