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8 April, 15:01

If a ship floating in the ocean weighs 1 million metric tons, approximately what volume of water does it displace? a. 1 million cubic meters b. 1 million cubic centimeters C. 1 million liters d. Not enough information to determine the volume of water e. None of the above

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  1. 8 April, 17:31
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    Answer: The answer is d.

    Explanation:

    The ship is acted by two forces, gravity (going always downward), and an upward force due to Archimedes' principle, that says that "any body submerged in a liquid, receives an upward force, which value is equal to the weight of the volume of the liquid that it displaces".

    In order to be able to evaluate this force, we would need to know what percentage of the volume of the ship is submerged, and this depends on the density of the ship.

    As we have no information regarding the material from which the ship is built, and because we only know that the ship "floats" (which means that is not 100% submerged in the ocean), we have not enough information to determine the volume of water displaced.
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