A liquid is at rest relative to a container that accelerates horizontally toward the right with constant acceleration a. Which of the following statements are correct?
Select all that apply

Question

A liquid is at rest relative to a container that accelerates horizontally toward the right with constant acceleration a. Which of the following statements are correct?

G1 Physics · Accepted Answer

In the accelerating frame, the liquid experiences effective gravity g⃗(eff) = −aî−gĵ. The free surface is perpendicular to g⃗(eff). Therefore its slope magnitude is tanθ = a/g. Since the effective acceleration has a leftward component, the free surface is higher on the left. At the same vertical level, dP/dx = −ρa. Thus pressure decreases toward the right and is greater toward the left. Therefore A, B, C and D are all correct.