Question

Your foot has been stepped on, twice! Both times, a 100 kg person put all their weight on the heel of their shoe upon your foot. The first person was wearing flats, and their heel had an area of 60 cm2. The second person was wearing high heels, and their heel had an area of 9 cm2. What can you say about the two pressures on your foot

Answer 1

The pressure exerted by the shoe of the second person is 6.6 times the pressure exerted by the shoe of the first person.

Se know that pressure is defined as the ratio of force to area. A person that has a mass of 100 Kg has a weight of 100Kg × 9.8 m/s^2 = 980 N. This is the force exerted on your feet.

Now, the area of the first person's shoe = 60 cm2 or 0.006m^2 hence the pressure exerted by the first person is;

P = F/A = 980 N/0.006m^2 = 1.63 × 10^5 Nm-2

The area of the second person's shoe is 9 cm2 or 0.0009m^2 hence the pressure exerted is;

P = 980 N/ 0.0009m^2

P = 1.08 × 10^6 Nm-2

Hence, the pressure exerted by the shoe of the second person is 6.6 times the pressure exerted by the shoe of the first person.

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