A woman walks into a carpet store wearing high-heeled shoes with a circular heel of diameter 0.987 cm. To the dismay of the store manager, she balances on one heel on an expensive carpet sample. If she has a mass of 45.5 kg, determine the pressure she exerts on the carpet sample.

Respuesta :

The pressure she exerts on the carpet sample:-5.8279 MPa

Calculation of Pressure exerted on the carpet:-

P = F/A

Where,

F= Force

A = Area

Given that;

d= 0.987 cm =0.987  x 10^-2 m

m= 45.5 kg

Area = πr^2= (π(0.987  x 10^-2)^2/2)

       =7.6511 x 10^-5  square meter

Force= mg

        = 45.5 x 9.8

        =445.9 N

Pressure = force/ area

              =445.9/7.6511 x 10^-5

              =5.8279 MPa

The pressure she exerts on the carpet sample:-5.8279 MPa

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