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March 30, 2017

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A beaker of mass mb containing oil of mass m1 and density ρ1 rests on a scale. A block of iron of mass m2 and density ρ2 is suspended from a spring scale and completely submerged in the oil. Determine the equilibrium readings of both scales. (Use rho_1 for ρ1, rho_2 for ρ2, m_1 for m1, m_2 for m2, m_b for mb, and g when necessary.)

  • Physics - ,

    The idea here is to calculate the bouyant force in each liquid, and add that to the original mass, since the scale is now supporting that mass.

    bouyantforce=massiron/densityiron

    the reading on the scale will then be

    massoil+bouyantforce.

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