Answer:
Pressure = 20 MPa
Explanation:
Given:
Force acting on the shoe is, [tex]F=100\ N[/tex]
Area of shoe on which the force acts is, [tex]A= 0.05\ cm^2[/tex]
Now, first we convert the area into its standard unit of m².
We have the conversion factor as:
1 cm² = [tex]10^{-4}\ m^2[/tex]
Therefore, the area of shoe in square meters is given as:
[tex]A=0.05\times 10^{-4}\ m^2\\A=5\times 10^{-6}\ m^2[/tex]
Now, pressure on the shoe is given as:
[tex]P=\frac{Force}{Area}\\P=\frac{F}{A}[/tex]
Plug in 100 N for 'F', [tex]5\times 10^{-6}[/tex] for 'A' and solve for 'P'. This gives,
[tex]P=\frac{100\ N}{5\times 10^{-6}\ m^2}\\P=20\times 10^{6}\ N/m^2[/tex]
Now, we know that,
[tex]10^{6}\ N/m^2=1\ MPa\\\therefore 20\times 10^{6}\ N/m^2=20\times 1\ MPa=20\ MPa[/tex]
Therefore, the pressure acting on the shoe is 20 MPa.
