KHAEMENES ACADEMY · PHYSICS 12 · WEEK 26 · DAY 05

Fluids Synthesis

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

Explicit physics instruction

Fluids synthesis links density, pressure, displaced volume, buoyancy, and equilibrium.

Use the Friday transfer to explain floating from force balance rather than slogans.

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

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

Explain floating using both average density and force balance.

Independent work

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

Spiral retrieval bridge

  1. From Week 25: distinguish wave amplitude from energy transfer.
  2. From Week 10: calculate density as mass divided by volume.
  3. From Week 07: identify forces in equilibrium.

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.