Answer
The maximum mass of the vehicle is 8950 kg
Work Step by Step
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.
