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Buoyancy .check me

  1. Nov 18, 2007 #1
    buoyancy.....check me

    1. The problem statement, all variables and given/known data
    [​IMG]


    2. Relevant equations

    [tex]\rho[/tex] = [tex]\frac{m}{V}[/tex]

    F(buoyancy) = [tex]\rho[/tex]liquid * Vsolid * g


    3. The attempt at a solution

    I think i got this, i just want someone to check my answers if you can...

    [tex]\rho[/tex]_gold = 19.3 g/cm[tex]^{3}[/tex] = 19300kg/m[tex]^{3}[/tex]
    [tex]\rho[/tex]_silver = 10.5 g/cm[tex]^{3}[/tex] = 10500kg/m[tex]^{3}[/tex]
    [tex]\rho[/tex]_water = 1000kg/m[tex]^{3}[/tex]

    (a)
    W = 25N = mg --> m = 2.55kg

    W_u/w = W - Fb ---> mg - [tex]\rho[/tex]_water * [tex]\frac{m}{\rho_gold}[/tex] * g

    W_u/w = 23.71 N

    seem right?
     
  2. jcsd
  3. Nov 18, 2007 #2

    dynamicsolo

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    Homework Helper

    Looks OK so far...
     
  4. Nov 18, 2007 #3
    ok, that's all i needed. The next part i multiply the density of gold by 0.75 and silver by 0.25 and add them together. I then use that as the denisty of the solid. And the weight comes out to 23.54 N. Not that much lighter.
     
  5. Nov 18, 2007 #4

    dynamicsolo

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    Homework Helper

    That looks fine, too.
     
  6. Nov 18, 2007 #5
    thank you!
     
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