Question

How much pressure is exerted by the foot of a chair having a weight of 100 N, which is equally distributed on each foot of the chair with an area of 25 $c{m}^2$?

Answer 1

Step 1: Given Data

Weight, $W=100N$

Area of one foot = $25c{m}^2$

Area of four feet, $A=25\times 4=100c{m}^2$$=.01m^2$

Since,

$$\begin{gathered} 1cm=\frac{1}{100}m \\ 1c{m}^2=\frac{1}{10000}{m}^2 \end{gathered}$$

Step 2: Calculation

$\mathrm{Pressure}=\frac{\mathrm{Force}\left(\mathrm{F}\right)}{\mathrm{Area}\left(\mathrm{A}\right)}$

Here, Force = mg = Weight

Now, let's put the given values in the formula of pressure,

⇒ $P=\frac{100N}{.01m^2}$

⇒ $P=10,000\frac{N}{m^2}$

i.e., $10,000\mathrm{Pascal}$

Hence, the pressure exerted by the foot of the chair is 10,000 Pascal.