A pressure of 10 kPa acts on an area of 0.3 `m^(2)`. The force acting on the area will be :

Options

A. 3000 N
B. 30 N
C. 3 N
D. 300 N

Answer

To find the force acting on an area when a certain pressure is applied, we can use the formula:

\[ \text{Pressure} (P) = \frac{\text{Force} (F)}{\text{Area} (A)} \]

From this formula, we can rearrange it to find the force:

\[ F = P \times A \]

### Step-by-step Solution:

1. **Identify the given values:**
- Pressure (P) = 10 kPa
- Area (A) = 0.3 m²

2. **Convert the pressure from kilopascals to pascals:**
- 1 kPa = 1000 Pa
- Therefore, 10 kPa = 10 × 1000 Pa = 10,000 Pa

3. **Substitute the values into the formula:**
- Using the formula \( F = P \times A \):
\[ F = 10,000 \, \text{Pa} \times 0.3 \, \text{m}^2 \]

4. **Calculate the force:**
- Multiply the pressure by the area:
\[ F = 10,000 \times 0.3 = 3000 \, \text{N} \]

5. **State the final answer:**
- The force acting on the area is 3000 N.

### Final Answer:
The force acting on the area will be **3000 Newtons**.

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