Answer:
2500 Pa
Explanation:
To determine the pressure exerted on the door when a force is applied with your palm, we need to use the formula for pressure, which relates force and area.
[tex]\boxed{\begin{array}{ccc}\text{\underline{Pressure:}}\\\\ P = \dfrac{\vec F}{A}\\ \\\text{Where:}\\\text{$\bullet$ $P$ is the pressure in $\frac{N}{m^2}$ which is Pascals (Pa)} \\ \text{$\bullet$ $\vec F$ is the force exerted}\\\text{$\bullet$ $A$ is the area over which the force is exerted}\end{array}}[/tex]
Given:
First convert the area units of cm² to m²:
[tex]\dfrac{80 \text{ cm}^2}{} \times \left(\dfrac{1 \text{ m}}{100 \text{ cm}}\right)^2=\boxed{0.008 \text{ m}^2}[/tex]
Now, calculate the pressure:
[tex]\Longrightarrow P = \dfrac{20 \text{ N}}{0.008 \text{ m}^2}[/tex]
[tex]\therefore P = \boxed{2500 \text{ Pa}}[/tex]
Thus, the pressure exerted on the door by your palm is 2500 Pascals.
