KHAEMENES ACADEMY · PHYSICS 12 · WEEK 26 · DAY 02

Buoyancy & Archimedes’ Principle

Why can a heavy ship float while a small dense object sinks?

Explicit physics instruction

Buoyant force arises from pressure differences over an immersed object.

The fluid pushes more strongly on deeper surfaces than shallower ones, producing a net upward force.

For a fully immersed object, displaced-fluid volume equals immersed object volume.

Core relations: ρ=m/V; F_b=weight of displaced fluid.

Worked example

A 2.0 kg object displaces 2.5 kg of water. The displaced-fluid weight is about 24.5 N using g=9.8 m/s², so buoyant force is about 24.5 N.

Guided question

Why does an immersed object experience a larger pressure force on its bottom surface?

Independent work

  1. Solve three density/buoyancy problems.
  2. Draw one fluid force diagram.
  3. State one assumption or uncertainty.

Misconception check

A heavier object can float if its average density is low enough and it displaces sufficient fluid.

Formative check

What sets buoyant-force magnitude in Archimedes’ model?

Reveal response

The weight of the displaced fluid.

Mentor evidence conference

Ask Archaemenes to audit density units, displacement reasoning, and force balance.

Teacher guidance

Foundation: Calculate density and identify buoyant direction.

Core: Apply Archimedes’ principle and equilibrium.

Extended: Analyze stability and uncertainty.