Answer:
2780 N
Explanation:
Pressure is defined as the ratio between the force applied and the area of the surface:
[tex]p=\frac{F}{A}[/tex]
Here we know the pressure:
[tex]p=2.63 \cdot 10^9 N/m^2[/tex]
we also know the diameter of the tip, d = 1.15 mm, so we can calculate the radius
[tex]r=\frac{1.15 mm}{2}=0.58 mm = 5.8\cdot 10^{-4} m[/tex]
and so the area
[tex]A=\pi r^2 = \pi (5.8\cdot 10^{-4} m)^2=1.057\cdot 10^{-6} m^2[/tex]
And so we can re-arrange the equation to find the force:
[tex]F=pA=(2.63\cdot 10^9 N/m^2)(1.057\cdot 10^{-6} m^2)=2780 N[/tex]
