Find the force that produces a pressure of 20 kPa on an area of 0.20 `m^2`?

Answer

To find the force that produces a pressure of 20 kPa on an area of 0.20 m², we can follow these steps:

### Step 1: Understand the formula for pressure
Pressure (P) is defined as the force (F) applied per unit area (A). The formula can be expressed as:
\[ P = \frac{F}{A} \]

### Step 2: Rearrange the formula to solve for force
To find the force, we can rearrange the formula:
\[ F = P \times A \]

### Step 3: Convert the pressure from kilopascals to pascals
The pressure given is 20 kPa. We need to convert this to pascals (Pa) since 1 kPa = 1000 Pa:
\[ 20 \text{ kPa} = 20 \times 1000 \text{ Pa} = 20000 \text{ Pa} \]

### Step 4: Substitute the values into the formula
Now we can substitute the values of pressure and area into the rearranged formula:
- Pressure (P) = 20000 Pa
- Area (A) = 0.20 m²

So,
\[ F = 20000 \text{ Pa} \times 0.20 \text{ m}^2 \]

### Step 5: Calculate the force
Now, we perform the multiplication:
\[ F = 20000 \times 0.20 = 4000 \text{ N} \]

### Final Answer
The force that produces a pressure of 20 kPa on an area of 0.20 m² is **4000 Newtons (N)**.

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