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=FA=mgπ4d2
Substituting the values in the above expression, we get:
P=50kg×9.8m/s2π4(1.0×10−2m)2≈6.2×106Pa
Hence, the pressure exerted by the heel on the floor is 6.2×106Pa.