A body of volume V and density ρ_s, floats with volume v inside a liquid of density ρ_L. Show that = .

Question

KnowledgeBoat · Accepted Answer

Given, Volume of body = V Volume of body submerged in liquid = v Density of body = ρ_s Density of liquid = ρ_L Let weight of the body be W. W = volume of the body x density of the body x g = V ρ_s g Weight of liquid displaced by the body will be equal to upthrust. Let it be F_B. F_B = volume of the liquid displaced x density of the liquid x g = v ρ_L g From principle of floatation, W = F_B V ρ_s g = v ρ_L g = Hence proved.

Physics

A body of volume V and density ρ<sub>s</sub>, floats with volume v inside a liquid of density ρ<sub>L</sub>. Show that = .

Fluids Upthrust

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