A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?
A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?

Answer :

According to the question, the radius of the heel, r = d/2 = 0.005 m

And the mass of the lady (m) = 50 kg

We know that the expression for the Area of the heel can be written as –

A = πr2 = π (0.005)2

A = 7.85 × 10-5 m2

Expression for the Force on the floor due to the heel is given by –

F = mg = 50 × 9.8

F = 490 N

The pressure exerted by the heel on the floor:

Upon substituting values, we get –

P = 490 / 7.85 × 10-5

Therefore, P =  Nm -2