To find the force that the brick exerts on the table, we can use the relationship between pressure, force, and area given by the formula:
[tex]\[
\text{Pressure} = \frac{\text{Force}}{\text{Area}}
\][/tex]
We're provided with the pressure and the area of the base of the brick. We need to solve for the force. Rearrange the formula to solve for force:
[tex]\[
\text{Force} = \text{Pressure} \times \text{Area}
\][/tex]
Substitute the given values into the equation:
- Pressure ([tex]\(P\)[/tex]) = 270 N/m²
- Area ([tex]\(A\)[/tex]) = 0.03 m²
[tex]\[
\text{Force} = 270 \, \text{N/m}^2 \times 0.03 \, \text{m}^2
\][/tex]
Now, perform the multiplication:
[tex]\[
\text{Force} = 270 \times 0.03 = 8.1 \, \text{N}
\][/tex]
Therefore, the force that the brick exerts on the table is [tex]\(8.1 \, \text{N}\)[/tex].
