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A small solid sphere of mass M0, of radius R0, and of unifor

  1. Jun 15, 2016 #1
    1. The problem statement, all variables and given/known data
    A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
    Read it to me
    1.The new sphere has density ρ = ρ0 and radius R > R0
    2.The new sphere has radius R < R0 and density ρ = ρ0
    3.The new sphere has radius R = R0 and density ρ < ρ0
    4.The new sphere has density ρ < ρ0 and mass M = M0
    5.The new sphere has radius R < R0 and density ρ > ρ0
    6.The new sphere has density ρ > ρ0 and mass M = M0

    2. Relevant equations


    3. The attempt at a solution
    1 R
    2.F
    3. F
    4. U
    5. R,F,U
    6. U
     
  2. jcsd
  3. Jun 15, 2016 #2
    for 3.i think it will rise because the force by water is ρ(of water) x volume x g(acc. due to gravity).if ρ is less than ρ(water)
     
  4. Jun 16, 2016 #3

    berkeman

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    Staff: Mentor

    Please show your work/reasoning behind your answers...
     
  5. Jun 17, 2016 #4

    haruspex

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    2016 Award

    Be careful with 6. What are all the possible consequences of increased density?
     
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