Pressure in a fluid-mechanical properties of fluids

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Question

A container is containing mercury and water. A uniform solid object stays at equilibrium at the interface between mercury and water such that 20 % of the volume of object is in mercury. Find the density ( $g c c^{- 1}$ ) of the object. [Density of mercury is 13.6 $g c c^{- 1}$ , density of water is 1 $g c c^{- 1}$ ]

Moderate

Solution

$\begin{array}{l} ρ = \frac{ρ_{1} V_{1} + ρ_{2} V_{2}}{V_{1} + V_{2}} \\ = \frac{13.6 \times 0.2 + 1 \times 0.8}{1} \\ = 3.52 g c c^{- 1} \end{array}$

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Pressure in a fluid-mechanical properties of fluids

Remember concepts with our Masterclasses.

A container is containing mercury and water. A uniform solid object stays at equilibrium at the interface between mercury and water such that 20 % of the volume of object is in mercury. Find the density (gcc−1) of the object. [Density of mercury is 13.6 gcc−1, density of water is 1 gcc−1]

ρ=ρ1V1+ρ2V2V1+V2=13.6×0.2+1×0.81=3.52gcc−1

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$\begin{array}{l} ρ = \frac{ρ_{1} V_{1} + ρ_{2} V_{2}}{V_{1} + V_{2}} \\ = \frac{13.6 \times 0.2 + 1 \times 0.8}{1} \\ = 3.52 g c c^{- 1} \end{array}$