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The hull of a small boat is floating on the surface of sea water, which has a density of 1020 kg/m³. The volume of the hull below the waterline is 9.5 m³.

(a) Calculate the buoyant force on the boat.

(b) Explain, using a diagram, why the boat is able to float.

Answer :

To calculate the buoyant force on the boat, we can use Archimedes' principle, which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

He boat is able to float because the buoyant force acting upward on the boat is equal to the weight of the boat. This is due to the principle of buoyancy. The boat displaces an amount of water equal to its own weight, and as a result, the buoyant force upward balances the weight downward, allowing the boat to float.

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