Monday, November 24, 2014

Submerged Block

A beaker contains a thick layer of oil (shown in green) of density ρ2 floating on water (shown in blue), which has density ρ3. A cubical block of wood of density ρ1 with side length L is gently lowered into the beaker, so as not to disturb the layers of liquid, until it floats peacefully between the layers, as shown. (Figure 1)



What is the distance d between the top of the wood cube (after it has come to rest) and the interface between the oil and water?




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