Find out the area of a body which experiences a pressure of 60,000 Pa by a force of 500 N ?

Answer

To find the area of a body that experiences a pressure of 60,000 Pa due to a force of 500 N, we can use the formula for pressure:

\[ P = \frac{F}{A} \]

Where:
- \( P \) is the pressure (in Pascals, Pa)
- \( F \) is the force (in Newtons, N)
- \( A \) is the area (in square meters, m²)

We need to rearrange this formula to solve for area \( A \):

\[ A = \frac{F}{P} \]

Now, we can substitute the given values into the equation:

1. **Given Values**:
- Force \( F = 500 \, \text{N} \)
- Pressure \( P = 60,000 \, \text{Pa} \)

2. **Substituting the Values**:
\[ A = \frac{500 \, \text{N}}{60,000 \, \text{Pa}} \]

3. **Calculating the Area**:
- First, simplify the fraction:
\[ A = \frac{500}{60,000} \]
- We can cancel out the zeros:
\[ A = \frac{5}{600} \]
- Further simplifying:
\[ A = \frac{1}{120} \]

4. **Final Calculation**:
- To convert \( \frac{1}{120} \) into decimal form:
\[ A \approx 0.00833 \, \text{m}^2 \]
- Rounding to three decimal places, we get:
\[ A \approx 0.008 \, \text{m}^2 \]

Thus, the area of the body is approximately **0.008 m²**.