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Question

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

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Solution

Given, the mass of the girl is 50kg, the diameter of the heel is 1.0cm.

The pressure exerted by the heel on the floor is given by the equation,

P= F A = mg π 4 d 2

Substituting the values in the above expression, we get:

P= 50kg×9.8m/ s 2 π 4 ( 1.0× 10 2 m ) 2 6.2× 10 6 Pa

Hence, the pressure exerted by the heel on the floor is 6.2× 10 6 Pa.


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