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Homework Help: Archimedes principle problem.

  1. Apr 4, 2010 #1
    Hello all!

    Inside the water, body weights two times less than in air. Density of water is 1000kg/m^3. Find the density of body.

    1. Well I tried this solution and i'm not sure if it's correct. I started from this principle [tex]Fa=W/2[/tex] (inside water force equals weight of the body divided by two). Then:

    [tex]\rho 1[/tex] -> density of water
    [tex]\rho 2[/tex] -> density of body
    [tex]V[/tex] -> volume

    [tex]\rho 1 gV=\dfrac{\rho 2gV}{2}[/tex]

    [tex]\rho 1=\dfrac{\rho 2}{2}[/tex]
    [tex]\rho 2=2\rho 1[/tex]

    Anything wrong?

    Thank you.
  2. jcsd
  3. Apr 4, 2010 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Looks good to me.
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