☰ Contents · Natural science

Liquids in a U-tube, Archimedes’ force and floating

Lessons 68–70 · 3 lessons · K. T. Suyarov, Z. B. Sangirova, M. T. Umaraliyeva, S. G‘. Xasanova, M. K. Yuldasheva, D. T. Hasanova. Natural Science, Grade 6 (new edition). Republican Education Centre, 2022
69

Why do ships not sink?

Textbook, pp. 152–153
GoalExplain Archimedes’ force, its formula and its use in ships, balloons and floating.
New words
buoyant force (Archimedes’ force) · Arximed kuchidisplaced water · siqib chiqarilgan suvwaterline (load line) · suv chizig‘iballoon · havo shari
Explanation

A body immersed in a liquid or gas feels an upward push – the Archimedes (buoyant) force. Archimedes’ principle: it equals the weight of the displaced liquid: F_A = ρ_liquid × g × V_submerged. The ancient Greek scientist Archimedes lived in Syracuse in the 3rd century BC (about 287–212 BC; the textbook says the 2nd century, but it is the 3rd). The “Eureka” story of the crown is a famous legend. A ship is made of steel yet floats because it is hollow, so the hull displaces a large volume of water; the ship floats when the weight of displaced water equals the ship’s weight. A mark on the hull shows the deepest permitted loading (the waterline). Balloons rise by the same force: a balloon filled with helium or hot air has an average density smaller than the surrounding air. A person floats more easily in salt water because it is denser (the Dead Sea holds so much salt that people hardly sink).

Worked examples
A 5-litre body is fully submerged in water. The displaced water has mass 5 kg and weight 5 × 10 = 50 N. The buoyant force is 50 N.
A plasticine ball sinks in water, but the same plasticine shaped like a boat floats: the shape displaces more water and the buoyant force reaches its weight.
Class activity

Two experiments: 1) make a plasticine ball and a boat from the same plasticine, place them in a bowl of water and see which floats, then load the boat with coins to see how much it carries. 2) Put a boiled egg into plain water (it sinks), then into a container with 6 tablespoons of salt dissolved in 250 ml of water (it floats). Safety: do not drink or taste salt water; wipe spills (slipping); do not use raw egg and wash hands after handling eggs.

Practice
1
Write the Archimedes force formula and say what it means.
2
What buoyant force in N acts on a fully submerged 3-litre body? (1 litre of water = 1 kg, g ≈ 10 N/kg)
3
Why does a steel ship not sink?
4
Why does an egg float in salty water but sink in plain water?