Question

As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of 1.50 cm2 and the woman's mass is 51.0 kg. Express the force in N/m2 and lb/in2. (In the early days of commercial flight, women were not allowed to wear high-heeled shoes because aircraft floors were too thin to resist such large pressures.)

Answer 1

3335400 N/m² or 483.75889 lb/in²

Step-by-step explanation:

g = Acceleration due to gravity = 9.81 m/s²

A = Area = 1.5 cm²

m = Mass of woman = 51 kg

F = Force = mg

When we divide force by area we get pressure

`P=(F)/(A)\\\Rightarrow P=(mg)/(A)\\\Rightarrow P=(51* 9.81)/(1.5* 10^(-4))\\\Rightarrow P=3335400\ N/m^2`

`1\ N/m^2=(1)/(6894.757)\ lb/in^2`

`3335400\ N/m^2=3335400* (1)/(6894.757)\ lb/in^2=483.75889\ lb/in^2`

The pressure exerted on the floor is 3335400 N/m² or 483.75889 lb/in²