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Math Help - level of water!

  1. #1
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    Exclamation level of water!

    An ice cube floats in a glass of water. As the ice melts, the level of the water in the glass will:

    a) stay the same
    b) increase
    c) decrease
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  2. #2
    Site Founder MathGuru's Avatar
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    I cant beleive I'm proving these guys wrong but here goes . . .

    I have to disagree.

    The ice displaces its weight in water.

    As the ice melts the water that was once ice displaces its weight in water.

    The weight of the ice and the weight of the water that was once ice are the same.

    So their volume of displacement is also the same.

    There is no change in water level.


    ******

    Whatever decrease in volume of the ice happens (during melting process due to density change) will be canceled out by the fact that some of the ice was above the water line and therefore not contributing to the water level.
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  3. #3
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    Quote Originally Posted by MathGuru
    I have to disagree.

    The ice displaces its weight in water.

    As the ice melts the water that was once ice displaces its weight in water.

    The weight of the ice and the weight of the water that was once ice are the same.

    So their volume of displacement is also the same.

    There is no change in water level.


    ******

    Whatever decrease in volume of the ice happens (during melting process due to density change) will be canceled out by the fact that some of the ice was above the water line and therefore not contributing to the water level.
    Looks right to me, guess I was wrong

    RonL
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  4. #4
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    What was wrong with mine?

    (I am not bothered that you shown me to be wrong (if I am), physics is not my thing.)
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  5. #5
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    Thumbs up hi

    hiii

    the level of water will incrase in thiss case, and this can be proved by doiing thee experiment yourself
    bye


    gautam
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by gautam93 View Post
    hiii

    the level of water will incrase in thiss case, and this can be proved by doiing thee experiment yourself
    bye


    gautam
    The ice displaces a volume of water of mass equal to its own mass.

    When it melts it occupies a volume of water (because it is water) equal
    to the volume previously displaced (because it is now a volume of water
    of mass equal to the mass it had when it was ice).

    RonL
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