A 10 cm by 10 cm by 10 cm wood block with a density of 700 kg/m^3 floats in water.
a. What is the distance from the top of the block to the water if the water is fresh?

b. If it's seawater?

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  1. rho fresh = 1000 kg/m^2
    rho salt = 1029 kg/m^3 approx

    submerged draft = d

    vol of block = .1*.1*.1 = .001 m^3
    mass of block = 700*.001 = .7 kg

    volume of fresh water displaced must have mass = .7 kg
    .1 * .1 * d * 1000 = .7 kg
    d = .07 m = 7 cm
    so freeboard above water = 3 cm

    if density is 1029
    .1*.1*d * 1029 = .7
    d = .068 m = 6.8 cm
    so freeboard = 3.2 cm

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  2. its 2335

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