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Height of the loaded barge -

  1. May 9, 2006 #1
    Height of the loaded barge - urgent

    Hi

    Got a question to prepare for my exams tomorow.

    A barge of mass m and area A is loaded with sand of mass M. What is the difference in water line between the empty and the loaded barge.

    Many thanks for any reply......


    Regards.
     
  2. jcsd
  3. May 9, 2006 #2
    Height of the loaded barge - urgent

    Hi

    Got a question to prepare for my exams tomorow.

    A barge of mass m and area A is loaded with sand of mass M. What is the difference in water line between the empty and the loaded barge.

    Many thanks for any reply......


    Regards.
     
  4. May 9, 2006 #3

    eep

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    You're not going to get an answer faster by posting in multiple forums.
     
  5. May 9, 2006 #4

    Tide

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    Science Advisor
    Homework Helper

    HINT: The buoyant force equals the weight of water displaced.
     
  6. May 11, 2006 #5
    Sorry, this topic really is difficult for me - what would be the solution?

    thanks a lot for the help
     
  7. May 11, 2006 #6

    Doc Al

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    Staff: Mentor

    Look up Archimedes' principle and buoyant force. (Tide gave you the big hint.)
     
  8. May 11, 2006 #7

    Doc Al

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    Staff: Mentor

    Please give the OP the opportunity to do his own work.
     
  9. May 11, 2006 #8

    Curious3141

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    Homework Helper

    We try not to do the work wholesale for the poster.
     
  10. May 15, 2006 #9
    Density * H1* A = m => H1 = m /(density*A)
    Density * H2 *A = m+ M => H2 = (m+M)/(density*A)

    hence
    H2 - H1 = height difference = m / (density *A)

    is this correct?
     
  11. May 15, 2006 #10

    Curious3141

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    Homework Helper

    That should be a big "M" (mass of sand) in the answer right? If so, it's correct.

    BTW, remember to state that the new waterline (with sand) is higher up the barge than the old one, even if it seems obvious. Otherwise the answer isn't complete.
     
    Last edited: May 15, 2006
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