Answer:
The greatest pressure is 2178 Pa
Explanation:
Pressure
It's the force applied perpendicular to the surface of an object per unit area over which the force is distributed.
If F is the force applied and A is the surface area, the pressure is calculated as:
[tex]\displaystyle P=\frac{F}{A}[/tex]
The brick has dimensions of 25 cm by 9 cm by 5 cm. There are three possible areas of contact:
[tex]A_1=25*9 = 225 cm^2=0.0225\ m^2[/tex]
[tex]A_2=25*5= 125 cm^2=0.0125\ m^2[/tex]
[tex]A_3=9*5= 45 cm^2=0.0045\ m^2[/tex]
The brick has a mass of m=1000 g = 1 Kg and exerts a force equal to its weight when placed on a flat surface, thus:
F = m.g = 1 * 9.8 = 9.8 N
The greatest possible pressure will occur when the area is the least possible [tex](0.0045\ m^2)[/tex], since the pressure and the area are inversely proportional, thus:
[tex]\displaystyle P_{max}=\frac{9.8}{0.0045}[/tex]
[tex]\displaystyle P_{max}=2178 \ Pa[/tex]
The greatest pressure is 2178 Pa
