Question

A ceramic tile measuring 10 cm x 10 cm has been designed to bear a pressure of 400 Pa. Will the ceramic tile withstand a force of 5N ?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{tile}=10\mathrm{cm}\times 10\mathrm{cm}=100{\mathrm{cm}}^2 \\ \mathrm{Area}=100\times {10}^{-4}{\mathrm{m}}^2={10}^{-2}{\mathrm{m}}^2 \\ \mathrm{Pressure},\mathrm{P}=400\mathrm{Pa} \\ \mathrm{Force},\mathrm{F}=\mathrm{PA} \\ \mathrm{F}=400\times {10}^{-2}=4\mathrm{N} \\ \mathrm{Ceramic}\mathrm{tile}\mathrm{will}\mathrm{not}\mathrm{withstand}\mathrm{a}\mathrm{force}\mathrm{of}\mathrm{more}\mathrm{than}4\mathrm{N}. \end{gathered}$$