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physics

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A 0.52 kg piece of wood floats in water but is found to sink in alcohol (specific gravity = 0.79) in which it has an apparent mass of 0.040 kg. What is the SG of the wood?

  • physics -

    The specific gravity must be between 1.00 and 0.79 if it sinks in water but not in alcohol.

    The apparent mass in alcohol is
    V*(wood density) - V*(alcohol density) = 0.040 kg ..after subtracting the bouyant force.

    Wood density = alcohol density + 0.040 kg/V = 790 kg/m^3 + 0.040 kg/V

    Wood density = 0.52 kg/V

    0.48 kg/V = 790 kg/m^3

    V = .000608 m^3 = .608 liters

    S.G = 0.52 kg/.608 l = 0.855

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