Chapter 10, Problem 11P

To determine

The mass of the car is to be found in which each tire has area of $220c{m}^2$ and pressure in each tire is $240kPa$ .

Answer to Problem 11P

Mass of the car is $2155kg$ .

Explanation of Solution

Given info:

Area of each tire, $A=220c{m}^2=0.022m^2$

Pressure in each tire, $P=240kPa=2.4\times {10}^{5}Pa$

Formula used:

Force, $F=PA=mg$

Calculation:

Substituting values in formula of force,

  $\begin{array}{l}m(9.8)=(4)(2.4\times {10}^5)(0.022)\\ m=\frac{(4)(2.4\times {10}^5)(0.022)}{9.8}\\ m=2155kg\end{array}$

Conclusion:

Mass of the car is $2155kg$ .