Physics · 2. Forces and fluids
Buoyancy and density
Investigate upthrust and the conditions for floating, sinking and neutral buoyancy.
Driving question
Why can a steel ship float while a solid steel sphere sinks?
Curriculum coverage
Vietnam 2018 and Cambridge: density, fluid pressure and upthrust.
Model scope and limitations
The model assumes static homogeneous fluid with constant g.
Learning objectives
- Identify factors influencing upthrust.
- Apply F = ρgV to predict and verify results.
- Distinguish mass, weight and apparent weight.
Prerequisite knowledge
- Density ρ = m/V.
- Weight P = mg.
Core knowledge
Upthrust magnitude
Upthrust equals the weight of displaced fluid: F = ρ_fluid·g·V_submerged.
Apparent weight
When stationary in fluid: P_apparent = mg − F_upthrust.
Floating and sinking
Compare average object density with fluid; shape alters displaced fluid volume.
Worked example
In water, V = 1.50×10⁻³ m³ and g = 9.8 m/s² give F = 1000×9.8×1.50×10⁻³ = 14.7 N.
Misconceptions to avoid
- In a homogeneous fluid, upthrust on a fully submerged object does not increase with depth.
- A floating object has upthrust balancing its weight; upthrust is not greater at equilibrium.
Virtual experiment procedure: Archimedes upthrust and density
- Keep fluid and g constant; change submerged volume in equal steps.
- Record upthrust and submerged volume at least five times.
- Repeat with another fluid to compare F–V graph slopes.
Safety and cautions
- Simulation neglects waves, surface tension and viscosity.
Evidence to collect
- A table of V–F with units and at least five measurements.
- A graph and comments on slope variation with fluid density.
Diagnostic check
1. What does Archimedes upthrust on a submerged object depend on?
Show answer and explanation
Correct answer: Fluid density and displaced volume
F = ρ_fluid·g·V_submerged, independent of depth once fully submerged.
2. When an object floats in equilibrium, what does upthrust equal?
Show answer and explanation
Correct answer: Equal to the weight of the object
At floating equilibrium, F_upthrust = weight = mg.
Application practice
1. An object of volume 0.002 m³ is submerged in water (1000 kg/m³, g = 9.8 m/s²). Upthrust?
Show answer and explanation
Correct answer: 19.6 N
F = 1000 × 9.8 × 0.002 = 19.6 N.
2. A 4 kg wood block floats in equilibrium on water. Upthrust (g = 9.8)?
Show answer and explanation
Correct answer: 39.2 N
Floating in equilibrium means F = mg = 4 × 9.8 = 39.2 N.
3. Submerging the same object in oil (800 kg/m³) instead of water changes upthrust how?
Show answer and explanation
Correct answer: Decreases by 20%
Upthrust scales with fluid density: 800/1000 = 0.8 (20% reduction).
Academic references
- Cambridge IGCSE Physics 0625 — official syllabus and resources
- Cambridge AS & A Level Physics 9702 — official syllabus
- OpenStax Physics — peer-reviewed high-school physics
- BIPM — SI Brochure, 9th edition
This lesson is maintained against the cited sources below. Simulations are learning models and do not replace supervised physical-laboratory safety procedures.
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