The problem asks to calculate the pressure exerted by a car on the road, given the total force exerted by the car and the contact area of each of its four tires. The formula for pressure is given as $pressure = \frac{force}{area}$.

Applied MathematicsPhysicsPressureForceAreaUnits
2025/6/5

1. Problem Description

The problem asks to calculate the pressure exerted by a car on the road, given the total force exerted by the car and the contact area of each of its four tires. The formula for pressure is given as pressure=forceareapressure = \frac{force}{area}.

2. Solution Steps

First, we need to calculate the total contact area of the four tires.
Each tire has an area of 0.03m20.03 m^2, and there are 4 tires. So the total area is:
total_area=4×0.03m2total\_area = 4 \times 0.03 m^2
total_area=0.12m2total\_area = 0.12 m^2
Next, we calculate the pressure using the formula pressure=forceareapressure = \frac{force}{area}.
The total force exerted by the car is 15,600N15,600 N.
So,
pressure=15600N0.12m2pressure = \frac{15600 N}{0.12 m^2}
pressure=130000N/m2pressure = 130000 N/m^2

3. Final Answer

The pressure that the car exerts on the road is 130000N/m2130000 N/m^2.

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