Fluids Problem: Calculating Oil Layer Depth for Floating Soap Bar

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To calculate the oil layer depth when the soap bar is level with the oil's surface, the density of the soap bar must be determined using the given dimensions and buoyancy principles. The soap bar is 2cm thick, with 1.5cm submerged, indicating its density is greater than water but less than the oil. The specific gravity of the bath oil is 0.60, which helps in understanding the buoyant forces at play. The problem emphasizes the need to apply knowledge of buoyancy to solve for the oil layer depth effectively. Understanding these principles is crucial for reaching the correct solution.
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A 2cm thick bar of soap is floating on a water surface so that 1.5cm of the bar is underwater. Bath oil of specific gravity 0.60 is poured into the water and floats on top of the water. What is the depth of the oil layer when the top of the soap is just level with the uper surface of the oil?
 
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HINT: What is the density of the soap bar?

P.S. Have you done ANY work at all on this problem?
 
There is no density for soap bar. I did but without benefit.
 
ahh86 said:
There is no density for soap bar. I did but without benefit.

The hint was a suggestion that you should be able to use the information provided to determine the density of the soap bar. The problem wouldn't have been assigned if you hadn't already learned something about buoyancy.
 

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