Calculate the pressure when a force of 200 N is exerted on an area of 5 `m^(2)`

Options

A. 30 Pa
B. 40 Pa
C. 50 Pa
D. 60 Pa

Answer

To calculate the pressure when a force of 200 N is exerted on an area of 5 m², we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Pressure**:
The formula for pressure (P) is given by:
\[ P = \frac{F}{A} \]
where \( F \) is the force applied and \( A \) is the area over which the force is applied.

2. **Identify the Given Values**:
- Force \( F = 200 \, \text{N} \)
- Area \( A = 5 \, \text{m}^2 \)

3. **Substitute the Values into the Formula**:
Plug the values into the pressure formula:
\[ P = \frac{200 \, \text{N}}{5 \, \text{m}^2} \]

4. **Perform the Division**:
Calculate the pressure by dividing the force by the area:
\[ P = \frac{200}{5} = 40 \, \text{N/m}^2 \]

5. **Convert to Pascals**:
Since 1 Pascal (Pa) is defined as 1 Newton per square meter (N/m²), we can express the pressure in Pascals:
\[ P = 40 \, \text{N/m}^2 = 40 \, \text{Pa} \]

### Final Answer:
The pressure exerted is **40 Pascals (Pa)**.

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