How to Determine the Depth of an Ice Cube Floating in Water?

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Homework Help Overview

The problem involves determining how deep an ice cube floats in water, given the dimensions of the cube and the properties of the materials involved. The subject area includes concepts from fluid mechanics and buoyancy.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between the densities of water and ice, suggesting that this ratio may relate to the depth of the ice cube submerged in water. There are attempts to apply pressure equations and surface area calculations, but some participants express uncertainty about the correct approach.

Discussion Status

The discussion is ongoing, with some participants exploring the density ratio and its implications for the problem. There is acknowledgment of mistakes and clarifications, but no consensus has been reached on a definitive method or solution.

Contextual Notes

Participants are working under the constraints of the problem statement and are navigating through assumptions about pressure and density relationships without complete information on how to apply these concepts effectively.

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Homework Statement



A cube of ice whose edge measures 20.8 mm is floating in a glass of ice-cold water with one of its faces parallel to the water's surface. How far below the water surface is the bottom face of the block?

Homework Equations



P=F/A, P2-P1=\rhogh

The Attempt at a Solution



so i first found the surface area of the cube which was 2.59584m [using the formula 6*x2]
then i thought abt equating P1= 101.3 x103Pa. and solve for h but i don't know what to put for P2..pls. help
 
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Aren't you interested in the difference in the density of water and ice? Won't the ratio of the densities work out to be the ratio of the depth below to the whole?
 
so if i do the ratio of water to ice so 1000:917 which is about 1.091 is the answer>?
 
i'm still unsure on how to do this question pls. help
 
nvm i realized my mistake
 
Sorry, I missed that it was an open item still.

Glad you figured it out.
 

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