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.
A
200 N/m2
B
300 N/m2
C
100 N/m2
D
400 N/m2
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Correct Option: A
Given:
- Length: 10 cm = 0.1 m
- Breadth: 5 cm = 0.05 m
- Height: 2 cm = 0.02 m
- Density: 1000 kg/m³
- Gravity: g = 10 m/s²
Step 1: Volume
\( V = L \times B \times H = 0.1 \times 0.05 \times 0.02 = 0.0001 \, \text{m³} \)
Step 2: Mass
\( m = \rho \times V = 1000 \times 0.0001 = 0.1 \, \text{kg} \)
Step 3: Weight
\( W = m \times g = 0.1 \times 10 = 1 \, \text{N} \)
Step 4: Pressure
Base area: \( A = L \times B = 0.1 \times 0.05 = 0.005 \, \text{m²} \)
\( P = \frac{W}{A} = \frac{1}{0.005} = 200 \, \text{N/m²} \)
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