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12 August, 14:35

The water level in identical bowls, A and B, is exactly the same. A contains only water; B contains floating ice as well as water. When we weigh the bowls, we find that Group of answer choices

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  1. 12 August, 14:38
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    We know that the density of the ice is smaller than the density of the water (and this is why the ice floats in water).

    Dw > Di

    Da is the density of the water and Di is the density of the ice

    Since in Bowl A we have a volume V, only of water, then the mass of the bowl A is:

    Dw*V.

    Now, in the bowl B we have a combination of water and ice, suppose that Vw is the volume of water and Vi is the volume of ice, and we know that:

    Vw + Vi = V.

    Then the mass in this second bowl is:

    Dw*Vw + Di*Vi = Dw * (V - Vi) + Di*Vi = Dw*V + (Di - Dw) * Vi

    and we know that Dw > Di, then the left term is a negative term, then the mass of bowl B is smaller than the mass of bowl A.
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