   Chapter 9, Problem 6P

Chapter
Section
Textbook Problem

The four tires of an automobile are inflated to a gauge pressure of 2.0 × 105 Pa. Each tire has an area of 0.024 m2 in contact with the ground. Determine the weight of the automobile.

To determine
The weight of the automobile.

Explanation
The weight W of the automobile is shared by its four tires by W/4 and the gauge pressure in each tire would be P=F/A=(W/4)/A . Now this expression is rearranged for weight of the automobile.

Given info: The area of the tire that in contact with the ground is 0.024m2 and the gauge pressure is 2.0×105Pa .

The formula for the mass of the automobile is,

W=4AP

• A is the area of the tire that in contact with the ground.
• P is gauge pressure.

Substitute 0.024m2 for A and 2

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