The problem asks us to calculate the pressure exerted by a storage tank on the ground, given that the tank exerts a force of 10000 newtons and the base of the tank in contact with the ground is a 4m by 2m rectangle. We are given the formula $pressure = \frac{force}{area}$.

Applied MathematicsPhysicsPressureAreaForceUnits
2025/4/1

1. Problem Description

The problem asks us to calculate the pressure exerted by a storage tank on the ground, given that the tank exerts a force of 10000 newtons and the base of the tank in contact with the ground is a 4m by 2m rectangle. We are given the formula pressure=forceareapressure = \frac{force}{area}.

2. Solution Steps

First, we need to calculate the area of the base of the tank.
The base is a rectangle with dimensions 4m and 2m.
The area of a rectangle is given by:
Area=length×widthArea = length \times width
Area=4m×2m=8m2Area = 4m \times 2m = 8 m^2
Now, we can calculate the pressure using the formula pressure=forceareapressure = \frac{force}{area}.
Pressure=10000 newtons8m2Pressure = \frac{10000 \text{ newtons}}{8 m^2}
Pressure=1250 newtons/m2Pressure = 1250 \text{ newtons}/m^2

3. Final Answer

The pressure on the ground due to the tank is 1250 newtons/m².

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