Question

Khusi is wearing high heel shoes, she balances on a single heel. the heel is circular with a radius of 0.5 cm.her mass is 55kg. the pressure exerted by the heel on the horizontal floor is ??

Answer 1

$$\begin{gathered} \mathrm{Mass}\mathrm{of}\mathrm{the}\mathrm{girl},\mathrm{m}=55\mathrm{kg} \\ \mathrm{Radius}\mathrm{of}\mathrm{the}\mathrm{heel},\mathrm{r}=0.5\mathrm{cm}=0.005\mathrm{m} \\ \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{heel}={\mathrm{\pi r}}^2=\mathrm{\pi }\times 0.{005}^2=7.85\times {10}^{-5}{\mathrm{m}}^2 \\ \mathrm{Force}\mathrm{exerted}\mathrm{by}\mathrm{the}\mathrm{heel}\mathrm{on}\mathrm{the}\mathrm{floor},\mathrm{F}=\mathrm{mg}=55\times 9.8=539\mathrm{N} \\ \mathrm{Pressure}\mathrm{exerted}\mathrm{by}\mathrm{the}\mathrm{heel}\mathrm{on}\mathrm{the}\mathrm{floor}, \\ \mathrm{P}=\mathrm{F}/\mathrm{A} \\ =\frac{539}{7.85\times {10}^{-5}}=6.9\times {10}^6{\mathrm{Nm}}^{-2} \\ \mathrm{Therefore},\mathrm{the}\mathrm{pressure}\mathrm{exerted}\mathrm{by}\mathrm{the}\mathrm{heel}\mathrm{on}\mathrm{the}\mathrm{horizontal}\mathrm{floor}\mathrm{is}6.9\times {10}^6{\mathrm{Nm}}^{-2}. \end{gathered}$$