The four tires of an automobile are infalted to an absolute pressure of 2.0*10^5 Pa. Each tire has an area of 0.024m^2 in contact with the ground. Determine the weight of the autmobile.
Is 1.92*10^4 right? If so, what are the units.
Units: A Pascal is a newton/meter^2. Yes, it is right. Normally we would use the unit kilopascal here, but it is ok.
To determine the weight of the automobile, we need to use the pressure and area of the tires in contact with the ground.
1. Start by calculating the force exerted by each tire on the ground using the formula:
Force = Pressure * Area
Plugging in the values:
Force = (2.0 * 10^5 Pa) * (0.024 m^2)
Force = 4.8 * 10^3 N
2. Since there are four tires, we need to multiply the force by four to get the total force exerted by all the tires:
Total Force = 4 * Force
Total Force = 4 * (4.8 * 10^3 N)
Total Force = 1.92 * 10^4 N
Therefore, the weight of the automobile is 1.92 * 10^4 N (Newtons).