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Chapter 10: Q15P (page 260)

(II) The gauge pressure in each of the four tires of an automobile is 240 kPa. If each tire has a “footprint” of 190cm2 (area touching the ground), estimate the mass of the car.

Short Answer

Expert verified

The mass of the car is 1861.2 kg.

Step by step solution

01

Step-1:-Weight of the car

To determine the weight of the car, the sum of the forces on each tire applied by the gauge pressure is used

02

Step-2:-Given data

The pressure in each tire is P = 240kPa.

The area touching the ground for each tire A = 190cm2.

03

Step 3:-Calculation the weight of the car

The mass of the car is calculated as;

F =4× (PA)

mg = 4× (PA)

m = 4× (PA/g)

Here F is the force and g is the acceleration due to gravity.

Substituting the values in the above relation.


Thus, themass of the car is 1861.2 kg.

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