## Physics: Principles with Applications (7th Edition)

We can find the upward force exerted on the vehicle as: $F = P~A$ $F = (17.0)(1.01\times 10^5~N/m^2)(\pi)(0.1275~m)^2$ $F = 8.769\times 10^4~N$ We then use this force to find the maximum mass of the vehicle. $Mg = F$ $M = \frac{F}{g}$ $M = \frac{8.769\times 10^4~N}{9.80~m/s^2}$ $M = 8950~kg$ The maximum mass of the vehicle is 8950 kg.