AP Physics 1 · Unit 8 · Topic 8.2
Pressure
Density, pressure forces, buoyancy, continuity, and energy conservation describe fluids at rest and in motion.
1. Topic Lens
Pressure is studied through fluids. Connect the system boundary, interacting parts, and measurable evidence before applying a formula.
2. Why the Formula Works
The relationship is built from definitions and conservation reasoning:
- Isolate a horizontal fluid slab of area A and height h.
- Its weight is ρAhg and the supporting pressure-force difference is ΔP·A.
- Equilibrium gives ΔP·A=ρAhg, so ΔP=ρgh.
3. Detailed Visual Model
4. Worked Example and Lab Link
Estimate the gauge pressure 2.0 m below fresh water using ρ=1000 kg/m³ and g≈10 m/s².
Answer: ΔP≈(1000)(10)(2.0)=2.0×10⁴ Pa.
Investigation idea: Map water pressure versus depth with a sensor and evaluate linearity before testing a flow constriction.
Common trap: Pressure is a scalar at a point; deeper pressure does not imply a downward-only force.
Explain how pressure supports or limits this conclusion: ΔP≈(1000)(10)(2.0)=2.0×10⁴ Pa.
Official curriculum reference: College Board AP Physics 1 course page. The explanation and worked example are independently written for this study site.