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Olive oil floats on water. Take p to be the density of the oil and p2 to be the density of the water. Consider

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Olive oil floats on water. Take p to be the density of the oil and p2 to be the density of the water. Consider an oil-water interface across which a bouillon cube of density p3 floats, as shown in the figure below. Area A Water density P -Olive oil, density P Object of density P3 a) (3 points) What is the condition on p3 in terms of p and p2 such that the cube floats? b) (4 points) If the height of the cube is H and the depth of the bottom of the cube below the oil-water interface is D, find D/H in terms of p, p2 and p3.

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