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Question

# A 60 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a radius 1 cm. What will be the pressure exerted by the heel on the horizontal floor?

A
1.87×103 pascal
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B
1.78×103 pascal
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C
1.87×106 pascal
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D
1.78×106 pascal
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Solution

## Step 1: Given that:The mass(m ) of the girl= 60kg The radius(r ) of the circular heel of the girl= 1cm=1100cm=0.01m Step 2: Calculation of pressure exerted by the heel on the horizontal floor:Pressure= Force(F)Area(A) Force applied by girl on the floor= Weight of the girlThus,F=mg =60kg×9.8ms−2=588N Where g is the acceleration due to gravity.Now,Area of the heel of the girl= π×(0.01m)2=0.0001πm2 A=0.0001×227m2A=0.00227m2A=22×10−47m2 Hence,The pressure applied by the heel of the girl will be;P=588N22×10−47m2P=588×722×10−4P=411622×104 P=187.1×104 P=1.87×106Pa Thus,The pressure applied by the heel of the girl on the floor will be 1.87×106Pa

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