Question

How much pressure is exerted by an 100n man with a shoe area of O.05cm square​

Answer 1

Answer:

Pressure = 20 MPa

Explanation:

Given:

Force acting on the shoe is, $F=100\ N$

Area of shoe on which the force acts is, $A= 0.05\ cm^2$

Now, first we convert the area into its standard unit of m².

We have the conversion factor as:

1 cm² = $10^{-4}\ m^2$

Therefore, the area of shoe in square meters is given as:

$A=0.05\times 10^{-4}\ m^2\\A=5\times 10^{-6}\ m^2$

Now, pressure on the shoe is given as:

$P=\frac{Force}{Area}\\P=\frac{F}{A}$

Plug in 100 N for 'F', $5\times 10^{-6}$ for 'A' and solve for 'P'. This gives,

$P=\frac{100\ N}{5\times 10^{-6}\ m^2}\\P=20\times 10^{6}\ N/m^2$

Now, we know that,

$10^{6}\ N/m^2=1\ MPa\\\therefore 20\times 10^{6}\ N/m^2=20\times 1\ MPa=20\ MPa$

Therefore, the pressure acting on the shoe is 20 MPa.