Question #125657

Task 1




Estimate how much pressure you exert on the ground when standing up. Carefully account for the measurement data that you use when solving the problem

Expert's answer

Suppose during the measurements we obtain, that the area of one foot is A1=120cm2=0.012m2A_1 = 120 cm^2 = 0.012m^2. Then for both will be:


A=2A1=20.012m2=0.024m2A = 2A_1 = 2\cdot 0.012m^2 = 0.024m^2

Also, suppose, the mass is m=60kgm =60 kg.

By definition, the preassure is given by:


P=NA=mgAP = \dfrac{N}{A} = \dfrac{mg}{A}

where NN is the weight of body and AA is the area of feet.

Thus:


P=mgA=609.810.02424.5103Pa=24.5 kPaP = \dfrac{mg}{A} = \dfrac{60\cdot 9.81}{0.024} \approx 24.5\cdot 10^{3}Pa = 24.5\space kPa

Answer. P=mgA=24.5kPaP = \dfrac{mg}{A} =24.5 kPa.


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