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7 February, 15:56

Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.50 L, 2.6 g/cm3; 0.25 L, 1.0 g/cm3; and 0.40 L, 0.70 g/cm3. What is the force on the bottom of the container due to these liquids

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  1. 7 February, 17:04
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    13.524 N

    Explanation:

    Volume and densities are given as:

    ρ1 = 2.6 g/cm³ = > 2600 kg/m³; V1 = 0.50 L = > 0.5 x 10^-3 m³

    ρ2 = 1.0 g/cm³ = > 1000 kg/m³; V2 = 0.25 L = > 0.25 x 10^-3 m³

    ρ3 = 0.7 g/cm³ = > 700 kg/m³; V3 = 0.4 L = > 0.4 x 10^-3 m³

    Next is to calculate force exerted on the bottom of the container due to these liquids:

    F = ρ1V1g + ρ2 V2 g + ρ 3 V3g

    where,

    ρ = density

    V = volume

    g = 9.8m/s²

    F = g (2600 x 0.5 x 10^-3 + 1000 x 0.25 x 10^-3 + 700 x 0.4 x 10^-3)

    F = 9.8 (1.38)

    F = 13.524 N

    Therefore, the force on the bottom of the container due to these liquids is 13.524 N
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