Static Fluids
5 questionsKey ideaPressure in a fluid increases with depth: P = P₀ + ρgh. It depends only on the depth, not on the container’s shape.
Common mistakeThinking a wider container has a higher pressure at the same depth.
Practice pressure, buoyancy, continuity, and Bernoulli’s equation. Quiz one topic at a time or take the whole unit.
The idea each topic turns on, and the mistake students make most often.
Key ideaPressure in a fluid increases with depth: P = P₀ + ρgh. It depends only on the depth, not on the container’s shape.
Common mistakeThinking a wider container has a higher pressure at the same depth.
Key ideaThe buoyant force equals the weight of the fluid displaced: FB = ρfluidVsubmergedg.
Common mistakeUsing the object’s density or mass instead of the fluid’s density and the displaced volume.
Key ideaFor an incompressible fluid, the volume flow rate Av is the same everywhere along a pipe, so the fluid speeds up where the pipe narrows.
Common mistakeScaling the area with the diameter instead of the diameter squared: halving a pipe’s diameter makes the fluid move four times faster, not twice.
Key ideaAlong a streamline, P + ½ρv² + ρgh is constant: at the same height, faster flow means lower pressure; at the same speed, higher elevation means lower pressure.
Common mistakeForgetting the height term when the pipe rises, or the speed term when its cross-section changes.
This is one of the 20 questions in the Unit 8 quiz.
Which equation gives the pressure at depth h in a static fluid?
Answer: A. P = P₀ + ρgh
The pressure in a static column of fluid is P = P₀ + ρgh, where P₀ is the pressure at the fluid surface.
AP-style FRQs for this unit. Students score themselves point by point against a rubric and see a full solution.