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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?


Solution

Mass of the girl, m = 50 kg
Diameter of the heel, d = 1 cm = 0.01 m
Radius of the heel, r=d2=0.005m
Area of the heel =πr2=π(0.005)2=7.85×105m2
Force exerted by the heel on the floor:
F = mg =50×9.8=490N
Pressure exerted by the heel on the floor:
P=ForceArea=4907.85×105=6.24×106Nm2
Therefore, the pressure exerted by the heel on the horizontal floor is 6.24×106Nm2
 


Physics
NCERT Textbook
Standard XI

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