Question

A person wearing shoes has a mass of 59 kg. Estimate the pressure exerted on a floor by one pointed heel or area 0.45 cm^2

Answer 1

We are given the following information.

Mass of person = 59 kg

Area of one pointed heel = 0.45 cm²

The pressure exerted on the floor by one pointed heel is given by

`P=(F)/(A)=(mg)/(A)`

Where m is the mass, g is the gravitational acceleration, and A is the area.

First, convert the area from cm² to m²

`(0.45)/(10000)=0.000045\; m^(2)`
`P=(mg)/(A)=(59\cdot9.8)/(0.000045)=12,848,889\; (N)/(m^2)`

Therefore, the pressure exerted on the floor by one pointed heel is 12,848,889 N/m²