Help with pressure-force problem

[Xiongster]

Homework Statement

A car misses a turn, sinks into a shallow lake, coming to rest on its side with the door horizontal and at a depth of 13.7 m. If the area of the car door is 0.67 m$$^{2}$$, what is the force exerted on the outside of the door by the water?

Homework Equations

Force = pressure * area

The Attempt at a Solution

p_total = p_atm + $$\rho$$ * g * h

F = (p_atm + $$\rho$$ * g * h)/area

F = (101325 N/m$$^{2}$$ + (1000 kg/m$$^{3}$$ * 9.8 m/s$$^{2}$$ * 13.7 m)) / .67 m$$^{2}$$ = 351582 N

That's what I've done so far, but it isn't the right answer, can someone help point me in the right direction? I know I did something wrong or forgot something but don't know what it is. Thanks in advance!

 

[andrevdh]

Maybe the car is still filled with air so that the atmospheric pressure cancels out (it takes some time to fill with water anyway even if the windows are open).

 

[Xiongster]

No, it tells me to not forget to add the atmospheric pressure.