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Answer:
3.12×10⁴ N/m²
Explanation:
Pressure (P) is equal to force (F) divided by area (A). In this case, the force is the weight of the block, which is equal to the mass (m) times the acceleration due to gravity (g). The mass of the block is equal to the density (ρ) times the volume (V). The volume of a rectangular prism is width times length times height (W×L×H).
The volume of the block is:
V = WLH
V = (0.05 m) (0.40 m) (0.25 m)
V = 0.005 m³
The mass of the block is:
m = ρV
m = (7800 kg/m³) (0.005 m³)
m = 39 kg
The weight of the block is:
F = mg
F = (39 kg) (10 m/s²)
F = 390 N
The pressure on the floor is:
P = F/A
P = (390 N) / (0.05 m × 0.25 m)
P = 31,200 N/m²
The pressure on the floor is 31,200 N/m², or 3.12×10⁴ N/m².