A length of clear plastic tubing is bent into a vertical U, as shown in the figure, and two liquids that do not mix are poured into it. Liquid A, with density ρA continues from the left column into the right. Its height is d1 in the left column and d2 in the right column. Liquid B, with density ρB, sits on top of liquid A in the right column. Its height is d3 above liquid A. Enter an expression for the density of liquid B, in terms of the other defined quantities. Calculate the density of liquid B, in kilograms per cubic meter, if liquid A has a density of ρA = 2.4×103 kg/m3, and d1 = 10.1 cm, d2 = 8.8 cm, d3 = 6.2 cm.

A length of clear plastic tubing is bent into a vertical U, as shown in the figure, and two liquids that do not mix are poured into it. Liquid A, with density ρA continues from the left column into the right. Its height is d1 in the left column and d2 in the right column. Liquid B, with density ρB, sits on top of liquid A in the right column. Its height is d3 above liquid A. Enter an expression for the density of liquid B, in terms of the other defined quantities. Calculate the density of liquid B, in kilograms per cubic meter, if liquid A has a density of ρA = 2.4×103 kg/m3, and d1 = 10.1 cm, d2 = 8.8 cm, d3 = 6.2 cm.

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Question

A length of clear plastic tubing is bent into a vertical U, as shown in the figure, and two liquids that do not mix are poured into it. Liquid A, with density ρ_A continues from the left column into the right. Its height is d₁ in the left column and d₂ in the right column. Liquid B, with density ρ_B, sits on top of liquid A in the right column. Its height is d₃ above liquid A.

Enter an expression for the density of liquid B, in terms of the other defined quantities.

Calculate the density of liquid B, in kilograms per cubic meter, if liquid A has a density of ρ_A = 2.4×10³ kg/m³, and d₁ = 10.1 cm, d₂ = 8.8 cm, d₃ = 6.2 cm.

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