Answer :

Given:


Mass of the girl (m) = 50kg


Diameter of the heel (d) = 1.0cm


Radius of the heel (r) = d/2 = 0.5cm


Area of the heel(A) = π × r2


= π × (0.5 × 10-2 m)2


= 7.8539 × 10-5 m2


We know that Pressure (P) = F/A


F = Force exerted by heel on the floor


A = Area of the heel


F = m × g where m = mass of the girl


= 50 kg × 9.8 m/s2 g = acceleration due to gravity


= 490 N


P = F/A


= 490 N/(7.8539 × 10-5) m2


= 6.24 × 106 N/m2


Pressure exerted by heel on the horizontal floor is 6.24 × 106N/m2


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