The pressure in each of your car tires is 2.30X10^5 Pa. The mass of your car is 1640 kg. Assuming that each of your tires bears one-quarter of the total load, what is the contact area of each tire with the road?

To find the contact area of each tire with the road, we need to use the formula for contact area:

A = F/P,

where A is the contact area, F is the force, and P is the pressure.

In this case, the force on each tire is equal to one-quarter of the total mass of the car multiplied by the acceleration due to gravity (9.8 m/s^2).

First, calculate the force:

F = (1/4) * m * g,

where m is the mass of the car and g is the acceleration due to gravity.

F = (1/4) * 1640 kg * 9.8 m/s^2,

F = 4018 N.

Now, substitute the values into the formula for contact area:

A = F / P,

A = 4018 N / 2.30 x 10^5 Pa.

A = 0.0175 m^2.

So, the contact area of each tire with the road is 0.0175 square meters.