Question on: JAMB Physics - 2024
A rectangular solid black has length 10 cm, breadth 5 cm, and height 2 cm. If it lies on a horizontal surface, and has density 100 kg/m3, calculate the pressure it exerts on the surface.
To calculate the pressure exerted by the rectangular solid, we use the formula: Pressure = Force / Area. The force is the weight of the solid, and the area is the area of contact with the surface.
First, calculate the volume of the rectangular solid:
Volume = length * breadth * height = 10 cm * 5 cm * 2 cm = 100 cm3
Convert the volume to m3: 100 cm3 = 100 * (1/100)3 m3 = 100 * 10-6 m3 = 1.0 * 10-4 m3
Calculate the mass of the solid using the density:
Density = Mass / Volume => Mass = Density * Volume = 100 kg/m3 * 1.0 * 10-4 m3 = 0.01 kg
Calculate the weight of the solid (Force) using the acceleration due to gravity (g = 9.8 m/s2). We will approximate g as 10 m/s2 for simplicity.
Weight = Mass * g = 0.01 kg * 10 m/s2 = 0.1 N
The area of contact with the surface is the length times the breadth: Area = 10 cm * 5 cm = 50 cm2
Convert the area to m2: 50 cm2 = 50 * (1/100)2 m2 = 50 * 10-4 m2 = 5.0 * 10-3 m2
Calculate the pressure:
Pressure = Force / Area = 0.1 N / (5.0 * 10-3 m2) = 20 N/m2
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