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For Students · Buoyancy

Buoyancy for a two-cart collision

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a two-cart collision live below — adjust the inputs and watch it respond, right in your browser.

Buoyancy & ArchimedesLive

floating equilibrium by density

Controls

An object floats with exactly the fraction ρ_object/ρ_fluid submerged. Denser than the fluid? It sinks. This is Archimedes' principle, live.

Presets

Object density (kg/m³)

Fluid density (kg/m³)

Object size

▶ Run in Python

Data Inspector

Fraction submerged60%

Statefloats

ρ ratio0.60

Governing equation

\frac{V _{s u b}}{V} = \frac{ρ _{o bj}}{ρ _{f l u i d}} = \frac{600}{1000} = 0.60 F_{b} = ρ_{f l u i d} g V

Reading this result: Lighter than the fluid (ρ ratio 0.60), so it floats with exactly 60% submerged — the submerged fraction equals the density ratio, and object size never changes it.

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Frequently asked questions

Is this good for students?: Yes — this version of "Buoyancy for a two-cart collision" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.