A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?
Mass of the girl, m=50kg Diameter of the heel, d=1cm=0.01m Radius of the heel, r=2d=0.005m Area of the heel =πr2 =π×(0.005)2 =7.85×10−5m2 Force exerted by the heel on the floor: F=mg =50×9.8 =490N Pressure exerted by the heel on the floor: P=AreaForce =490/(7.85×10−5)=6.24×106N/m2 Therefore, the pressure exerted by the heel on the horizontal floor is 6.24×106N/m2.
