CSEC PHYSICS · SECTION A · LESSON A16

Archimedes’ Principle: Upthrust, Floating and Sinking

Archimedes’ principle, upthrust and apparent weight, predicting whether an object floats or sinks, and applications to ships, submarines and balloons.

MechanicsA 6.3≈ 40 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON A16 · EXPLAINER

Archimedes’ Principle: Upthrust, Floating and Sinking

A steel ship floats yet a steel pin sinks. Archimedes’ principle explains both, and a few simple calculations decide which will happen.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Explore in 3D

Floating and sinking in 3D

Change the density of the block and compare its weight with the upthrust.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Upthrust

Upward force from a fluid on a body.

Archimedes’ principle

Upthrust = weight of fluid displaced.

Formula

U = ρ_fluid V g.

Apparent weight

Real weight − upthrust.

Floats if

Average density < fluid density (W = U).

Sinks if

Average density > fluid density.

Ships

Hollow hull; low average density; displaces its weight of water.

Submarines / balloons

Ballast tanks / hot or light gas.

EXAM TIPS & COMMON MISTAKES

  • For a floating object: weight = upthrust = weight of fluid displaced.
  • Use the volume of fluid DISPLACED, which is the submerged volume.
  • To predict floating or sinking, compare densities (or weight and upthrust).
  • When explaining ships, mention average density and displaced volume.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus A 6.3

1. Archimedes’ principle states that the upthrust on a body in a fluid equals

Answer: B. This is Archimedes’ principle.
Syllabus A 6.3

2. A block of volume 0.0030 m³ is fully submerged in water (ρ = 1 000 kg/m³, g = 10 N/kg). The upthrust is

Answer: C. U = ρVg = 1 000 × 0.0030 × 10 = 30 N.
Syllabus A 6.3

3. An object weighs 12 N in air and 9 N in water. The upthrust is

Answer: D. Upthrust = 12 − 9.
Syllabus A 6.3

4. A floating object has an upthrust that is

Answer: A. Floating means W = U.
Syllabus A 6.3

5. A block of density 800 kg/m³ is placed in water (1 000 kg/m³). It will

Answer: B. Its average density is less than water.
Syllabus A 6.3

6. A steel ship floats because

Answer: C. The hull is hollow.
Syllabus A 6.3

7. A submarine rises by

Answer: D. This reduces its weight and average density.
Syllabus A 6.3

8. A hot-air balloon rises because the heated air inside it

Answer: A. The balloon plus hot air is lighter than the air displaced.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (15 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Archimedes’ principle

Question 1 [15 marks]

A solid block weighs 5.0 N in air. When fully submerged in water it appears to weigh 3.0 N. Take g = 10 N/kg and the density of water as 1 000 kg/m³.

(a) (a) State Archimedes’ principle. [2]

MARK SCHEME — (a) (max 2)

(b) (b) Calculate the upthrust on the block. [2]

MARK SCHEME — (b) (max 2)

(c) (c) Calculate the volume of the block. [3]

MARK SCHEME — (c) (max 3)

(d) (d) Calculate the mass and the density of the block. [4]

MARK SCHEME — (d) (max 4)

(e) (e) State, with a reason, whether the block floats or sinks in water. [2]

MARK SCHEME — (e) (max 2)

(f) (f) Explain why a steel ship floats. [2]

MARK SCHEME — (f) (max 2)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.