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Force required to immerse a wooden cube

  1. Jun 29, 2017 #1
    1. The problem statement, all variables and given/known data

    The force required to immerse a wooden
    cube of side 4 cm and relative density RD 0.5 completely in water is
    1) 16x10-3 kgwt
    2) 32x10-3 kgwt
    3) 64x10-3 kgwt
    4) 128x10-3 kgwt
    2. Relevant equations


    3. The attempt at a solution

    Density of the cube = 0.5 gcm-3
    Volume of cube = 64 cm3
    Weight of the cube = 64 x10-6 x 500 x 9.8 N (1)

    Upthrust = 64 x10-6 x 1000 x 9.8 N (2)

    Force required = Upthrust - Weight

    Subtracting (1) from (2)

    Force required = 64 x10-6 x 500 x 9.8 N

    1kgwt = 9.8 N

    Force required = 32 x10-3 kgwt

    Is option 2) the correct answer ?
     
  2. jcsd
  3. Jun 29, 2017 #2

    scottdave

    User Avatar
    Homework Helper
    Gold Member

    it looks good to me.
     
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