Fluids Problem: Calculating Oil Layer Depth for Floating Soap Bar

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Homework Help Overview

The problem involves a soap bar floating on water with a layer of bath oil above it. The objective is to determine the depth of the oil layer when the soap bar is level with the oil's surface. The subject area pertains to fluid mechanics and buoyancy principles.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the density of the soap bar and its relevance to the problem. There is an attempt to connect the provided information to buoyancy concepts, with some questioning the absence of a known density for the soap.

Discussion Status

The discussion is ongoing, with hints provided regarding the density of the soap bar and its implications for solving the problem. Participants are exploring the relationship between the soap's buoyancy and the oil layer depth.

Contextual Notes

Participants note the lack of a specific density value for the soap bar, which may be critical for progressing in the problem. There is also a suggestion that prior knowledge of buoyancy is necessary for addressing the question.

ahh86
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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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