College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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## Interconverting Pressure and Force

#### Problem Statement:
A cylinder measuring 7.9 cm wide and 9.4 cm high is filled with gas. The piston is pushed down with a steady force measured to be 46. N.

![Diagram]
- **Gas**: The substance inside the cylinder.
- **Cylinder**: The container holding the gas.
- **Piston**: The moving component that pushes down on the gas.

## Task:
Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals (kPa). Round your answer to 2 significant digits.

### Input Fields:
| Field | Description |
|---|---|
| kPa | An input box to enter your calculated pressure in kilopascals |

### Controls:
| Button | Description |
|---|---|
| x10 | Multiplication button to adjust the value |
| X | Clear the input |
| ↺ | Reset the task |
| ? | Help or hint |

### Additional Information:
Click "Explanation" for a step-by-step solution or "Check" to verify your answer.

---

### Calculation Guide:
1. Identify the dimensions of the cylinder.
2. Use the formula for calculating pressure: 
   
   \( \text{Pressure} = \frac{\text{Force}}{\text{Area}} \)
   
3. Convert dimensions to compatible units if necessary.
4. Determine the area of the cylinder top (where the piston applies the force).
5. Calculate the pressure and convert to kilopascals if needed.
6. Input your answer and use the "Check" button to validate.

**Note:** Always ensure your final answer is in the correct significant digits as specified.
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Transcribed Image Text:## Interconverting Pressure and Force #### Problem Statement: A cylinder measuring 7.9 cm wide and 9.4 cm high is filled with gas. The piston is pushed down with a steady force measured to be 46. N. ![Diagram] - **Gas**: The substance inside the cylinder. - **Cylinder**: The container holding the gas. - **Piston**: The moving component that pushes down on the gas. ## Task: Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals (kPa). Round your answer to 2 significant digits. ### Input Fields: | Field | Description | |---|---| | kPa | An input box to enter your calculated pressure in kilopascals | ### Controls: | Button | Description | |---|---| | x10 | Multiplication button to adjust the value | | X | Clear the input | | ↺ | Reset the task | | ? | Help or hint | ### Additional Information: Click "Explanation" for a step-by-step solution or "Check" to verify your answer. --- ### Calculation Guide: 1. Identify the dimensions of the cylinder. 2. Use the formula for calculating pressure: \( \text{Pressure} = \frac{\text{Force}}{\text{Area}} \) 3. Convert dimensions to compatible units if necessary. 4. Determine the area of the cylinder top (where the piston applies the force). 5. Calculate the pressure and convert to kilopascals if needed. 6. Input your answer and use the "Check" button to validate. **Note:** Always ensure your final answer is in the correct significant digits as specified.
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