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31 May, 06:22

an object weighs 40N in air, weighs 20N when submerged jn water and 30N submerged in a liquid of unknown density. what is the density of the liquid?

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  1. 31 May, 06:26
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    502.51 kg/m^3

    Explanation:

    Upthrust on object in water is 40 - 20 = 20 N

    Upthrust is equal to the buoyancy forces given as

    B = pgv

    p is density of water 1000 kg/m^3

    g = acceleration due to gravity 9.81 m/s^2

    v is the volume of liquid displaced.

    Therefore

    B = 1000 x 9.81 x v

    20 = 9810v

    v = 2.038x10^-3 m^3

    For Upthrust in unknown liquid, we have 40 - 30 = 10 N

    Bouyancy force for the liquid will be

    B = P x 9.81 x 2.038x10^-3

    NB - the same volume of fluid will be displaced i. e 2.038x10^-3 m^3

    Equating we have

    10 = P x 9.81 x 2.038x10^-3

    10 = 0.0199p

    p = 10/0.0199 = 502.51 kg/m^3
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