The pressure is [tex]3.94\cdot 10^7 Pa[/tex]
Explanation:
First of all, we calculate the area of the tip of the nail, which is given by:
[tex]A=\pi r^2[/tex]
where
r = 0.0025 m is the radius
Substituting,
[tex]A=\pi (0.0025)^2=1.96\cdot 10^{-5} m^2[/tex]
Then we can calculate the pressure exerted by the person on the nail, which is
[tex]p=\frac{F}{A}[/tex]
where
F = 773 N is the force exerted (the weight of the man)
[tex]A=1.96\cdot 10^{-5} m^2[/tex] is the area
Substituting,
[tex]p=\frac{773}{1.96\cdot 10^{-5} m^2}=3.94\cdot 10^7 Pa[/tex]
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