Answer:
Maximum pressure = 4450 N/m²
Step-by-step explanation:
We'll begin by calculating the volume of the block. This can be obtained as follow:
Volume (V) = 5 cm × 3 cm × 2 cm
V = 30 cm³
Next, we shall determine the mass of the block. This can be obtained as follow:
Density = 8.9 g/cm³
Volume = 30 cm³
Mass =?
Density = mass /volume
8.9 = mass / 30
Cross multiply
Mass = 8.9 × 30
Mass = 267 g
Next, we shall covert 267 g to Kg.
1000 g = 1 Kg
Therefore,
267 g = 267 g × 1 Kg / 1000
267 g = 0.267 Kg
Thus, the mass of the block is 0.267 Kg
Next, we shall determine the force.
Force of gravity (g) = 10 N/Kg
Mass (m) = 0.267 Kg
Force (F) =?
F = mg
F = 0.267 × 20
F = 2.67 N
Next, we shall determine the minimum area since we are trying to obtain the maximum pressure. This can be obtained as follow:
Minimum area = 3 cm × 2 cm
Covert each measurement to metre (m) by dividing each measurement by 100
Minimum area = 0.03 m × 0.02 m
Minimum area = 0.0006 m²
Finally, we shall determine the maximum pressure. This can be obtained as follow:
Force (F) = 2.67 N
Minimum area = 0.0006 m²
Maximum pressure =?
Maximum pressure = Force /minimum area
Maximum pressure = 2.67 / 0.0006
Maximum pressure = 4450 N/m²