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Find the height of fluid in a U-tube container?

  1. Nov 4, 2013 #1

    qud

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    1. The problem statement, all variables and given/known data

    A block of mass 20 g sits at rest on a plate that is at the top of the fluid on one side of a U-tube as shown below. The U-tube contains two different fluids with densities ρ1 = 1070 kg/m3 and ρ2 = 650 kg/m3 and has a cross sectional area A = 4.6 * 10-4 m2. The surfaces are offset by an amount h as shown.

    2. Relevant equations

    I thought the equation I wanted to use was h = [(p1-p2)/p1]*h2, but this isn't correct.

    3. The attempt at a solution

    Based on what I thought the equation was, I got .0785m, which isn't right.

    I used [(1070-650)/1070] * .2

    Any help would be appreciated.
     

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  3. Nov 5, 2013 #2

    haruspex

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    Which fluid is which?
    Consider the point at the bottom of the blue fluid, and the point at the same height in the right-hand part of the U. For each point, what is the total mass above it?
     
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