Question #42101

This question tests the application of Bernoulli's principle in a non-inertial reference frame.

A common trap is assuming that forward acceleration pushes fluid to the front, thereby increasing the pressure at the front wall (leading to the incorrect $\sqrt{2(gH + aL)}$).

In reality, the pseudo-force acts in the opposite direction of acceleration, increasing pressure at the rear and decreasing it at the front.

Another trap is blindly substituting $g$ with $g_{eff} = \sqrt{g^2+a^2}$ without evaluating the actual potential difference $\Delta \Phi = \int \vec{g}_{eff} \cdot d\vec{r}$ between the two specific points.

The problem forces students to derive the pressure field or the generalized potential $\Phi(x,y) = ax + gy$ from first principles rather than relying on memorized standard-case formulas.