A cuboid exerts a force of 20 N on a table. If the dimensions of this cuboid are 3 cm x 5 cm x 20 cm, find the maximum and minimum pressure exerted by this solid, on the surface of the table.
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The max pressure would be 13333.33 Pa and minimum would be 2000 Pa
1) Mass of cuboid = 2 kg
and g = 10 m/ s^2
The force exerted by the cuboid would be
F = mg = 2*10 = 20 N
2) The formula for pressure is
P = F/A
Hence, pressure is inversely proportional to the area i.e. minimum the area, higher would be the pressure and vice versa
3) The area of three sides of the cuboid would be
3*5 = 15 cm^2 = 0.0015 m^2
5*20 = 100 cm^2 = 0.01 m^2
3*20 = 60 cm^2 = 0.06 m^2
4) Hence, pressure would be minimum at side with dimensions 5 and 20
P = 20/0.01 = 2000 Pa
Pressure would be maximum at side with dimension 3 and 5
P = 20/ 0.0015 = 13333.333 Pa
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