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Explain why a cargo ship of approximately 400 meters in length and that can carry up...

Explain why a cargo ship of approximately 400 meters in length and that can carry up to 186,000 tons of cargo, does not sink when at sea. Using the Archimedes' principle and mathematical expressions

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Ans.) According to Archimedes' principle the buoyant force on an object is given by wher is the density of water, is volume of the object and is acceleration due to gravity. So if the volume of the ship carrying cargo is such that the buoyant force equals the gravitational force on the ship, the ship will not sink. This is the reason the ships are designed such that they have the maximum volume possible.

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