A cube of soap having a edge dimension of 2.0 cm is floating in water so that 1.

Question

A cube of soap having a edge dimension of 2.0 cm is floating in water so that 1.5 cm of the soap is under water. Bath oil of specific gravity 0.60 is poured into the water and floats on top of it. What is the depth of the oil layer when the top surface of the soap is just level with the upper surface of the oil?

Consider, first the soap floating in the water, only. Draw a diagram, create a buoyant force equation, and solve for the unknown (soap's ).

Then, consider the soap floating in the two liquids. Draw a new diagram, create a new buoyant force equation, and solve for the unknown (oil's thickness). Answer= 1.25cm

Explanation / Answer

h1*1 = h2*2 + h33

1.5 * 1 = x*0.6 + (2-x)*1

x = 1.25 cm

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