Calculate the area of a body which experiences a pressure of 60 kPa by a force of 12,000 N.

Answer

To calculate the area of a body experiencing a pressure of 60 kPa due to a force of 12,000 N, we can follow these steps:

### Step-by-Step Solution:

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

2. **Rearrange the Formula**:
To find the area (A), we can rearrange the formula:
\[ A = \frac{F}{P} \]

3. **Convert Pressure to Standard Units**:
The pressure is given as 60 kPa. We need to convert this to pascals (Pa) since 1 kPa = 1000 Pa:
\[ 60 \text{ kPa} = 60 \times 10^3 \text{ Pa} = 60000 \text{ Pa} \]

4. **Substitute the Values**:
Now, we can substitute the values of force and pressure into the rearranged formula:
\[ A = \frac{12000 \text{ N}}{60000 \text{ Pa}} \]

5. **Calculate the Area**:
Performing the division:
\[ A = \frac{12000}{60000} = \frac{1}{5} \text{ m}^2 \]

6. **Convert to Decimal**:
Converting \(\frac{1}{5}\) to decimal gives:
\[ A = 0.2 \text{ m}^2 \]

### Final Answer:
The area of the body is \(0.2 \text{ m}^2\).

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