Calculate the pressure in Pascals. Keep final answer to one decimal place 

Let's recalculate the pressure and round the final answer to one decimal place.

### Given Data:
- **Force \( F \)** = 2000 N
- **Radius \( r \)** = 400 mm = 0.4 meters

### Relevant Formulas:
1. **Area of the piston face (A)**:
   \[
   A = \pi r^2
   \]
2. **Pressure (P)**:
   \[
   P = \frac{F}{A}
   \]

### Step-by-Step Calculation:

1. **Calculate the area of the piston face**:
   \[
   A = \pi r^2 = \pi \times (0.4)^2 = \pi \times 0.16 \approx 0.5024 \, \text{m}^2
   \]

2. **Calculate the pressure in the cylinder**:
   \[
   P = \frac{F}{A} = \frac{2000}{0.5024} \approx 3980.99 \, \text{Pa}
   \]

### Final Answer:
- The pressure in the fluid under the piston is **3981.0 Pa** when rounded to one decimal place.

Would you like further details or have any other questions?

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Here are 5 related questions to explore the topic further:

1. How would the pressure change if the force applied was increased to 4000 N?
2. What would be the impact on the pressure if the piston had a radius of 0.5 meters instead?
3. How would you express this pressure in bar (where 1 bar = 100,000 Pa)?
4. What is the role of the area in determining the pressure in hydraulic systems?
5. Can you determine the force needed to achieve a pressure of 5000 Pa with the same piston radius?

**Tip:** When dealing with large or small values of pressure, converting to units like bar or millibar can simplify the interpretation of results.

Learn how to calculate pressure in Pascals using a force of 2000 N applied on a piston with a radius of 400 mm (0.4 meters). Includes step-by-step calculation of area and pressure, rounding the final answer to one decimal place. Suitable for Grades 10-12 students studying physics and fluid mechanics.

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