Question

A girl weighing 60 Kg wearing high heel shoes stabilises herself on a single heel. The heel is round with a diameter of 1.5 cm. Calculate the pressure applied by the heel on the horizontal floor?

Answer 1

$\bigstar$ Given:-    

• Mass (m)= 60 kg

$\bigstar$ To find:-      

• The pressure applied by the heel on the horizontal floor?

$\bigstar$ Solution:-      

~Radius

$\qquad\tt{:\implies\: Radius =\:\dfrac{Diameter}{2}}$

$\qquad\tt{:\implies\: Radius =\:\dfrac{1.5\:\times\:10^{-2}}{2}}$

~Pressure

Pressure is given by P = F/A

where

• F = Force = mg
• A = Area = πr²

so,

$\qquad\tt{:\implies\:Pressure\:=\:\dfrac{Force}{Area}}$

$\qquad\tt{:\implies\:Pressure\:=\:\dfrac{mg}{\pi\:r^{2}}}$

$\qquad\tt{:\implies\:Pressure\:=\:\dfrac{60\:\times\:9.8}{3.142\:\times\:(\:0.75\:\times10^{-2}\:)^{2}}}$

$\qquad\tt{:\implies\:Pressure\:=\:3.32\:\times\:10^{6}\:Pa.}$

. ° . Thus the pressure applied by the heel on the horizontal floor is

3.32 × 10⁶ pascal.