Question

A force of 25 N acts on an area of 25 cm². Calculate the pressure produced.

Answer 1

$$\begin{gathered} \mathrm{Force}=25\mathrm{N} \\ \mathrm{Area}=25{\mathrm{cm}}^2 \\ \mathrm{Pressure}\mathrm{in}\mathrm{Pa}=\frac{\mathrm{Force}}{\mathrm{Area}\mathrm{in}{\mathrm{m}}^2} \\ \mathrm{We}\mathrm{know}1\mathrm{m}=100\mathrm{cm}={10}^2\mathrm{cm} \\ \mathrm{Therefore},1{\mathrm{m}}^2={10}^4{\mathrm{cm}}^2 \\ \mathrm{Area}\mathrm{in}{\mathrm{m}}^2\mathrm{is}:25\times {10}^{-4}{\mathrm{m}}^2 \\ \mathrm{Therefore},\mathrm{pressure}=\frac{25}{25\times {10}^{-4}}={10}^4=10000\mathrm{Pa}=10\mathrm{kPa} \end{gathered}$$