The problem asks us to calculate the pressure exerted by a block on the ground in two different scenarios. In both cases, the force exerted by the block is 5 N. The area of contact with the ground changes: a) Area = 0.04 $m^2$ b) Area = 0.025 $m^2$ We need to use the formula pressure = force/area to find the pressure in each case.

Applied MathematicsPhysicsPressureForceAreaUnits
2025/6/5

1. Problem Description

The problem asks us to calculate the pressure exerted by a block on the ground in two different scenarios. In both cases, the force exerted by the block is 5 N. The area of contact with the ground changes:
a) Area = 0.04 m2m^2
b) Area = 0.025 m2m^2
We need to use the formula pressure = force/area to find the pressure in each case.

2. Solution Steps

The formula for pressure is:
Pressure=ForceAreaPressure = \frac{Force}{Area}
a) When the block is flat on the ground, the area is 0.04 m2m^2 and the force is 5 N.
Pressurea=50.04Pressure_a = \frac{5}{0.04}
Pressurea=125Pressure_a = 125 N/m2N/m^2
b) When the block is standing on its side, the area is 0.025 m2m^2 and the force is 5 N.
Pressureb=50.025Pressure_b = \frac{5}{0.025}
Pressureb=200Pressure_b = 200 N/m2N/m^2

3. Final Answer

a) The pressure exerted by the block when flat on the ground is 125 N/m2N/m^2.
b) The pressure exerted by the block when standing on its side is 200 N/m2N/m^2.

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