Melting ice and water displacement

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Homework Help Overview

The discussion revolves around a physics problem related to the behavior of water levels when ice melts, specifically addressing the principle that the water level remains unchanged during this process.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the volume of ice and the volume of water displaced, referencing Archimedes's principle and discussing the implications of ice floating.

Discussion Status

Participants are actively engaging with the problem, presenting various ideas and equations related to buoyancy and displacement. There is a focus on clarifying concepts rather than reaching a consensus or conclusion.

Contextual Notes

The original poster mentions a requirement to prove the water level does not change when ice melts, indicating a specific academic context for the discussion.

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1. My professor gave us an extra credit problem in which we have to prove that water level does not change when ice melts.



2. (v)ice=(v)displaced water



3. any ideas?
 
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Consider Archimedes's principle.
 
so i have this:

Fb=(W) fluid displaced. and for the ice in a glass---- (V)ice=(V)displaced fluid.

(m)ice above surface=(m)(v of water)-(m)ice below.
 
Think of it this way: How much water does a mass "m" of ice displace? (Don't forget that the ice is floating. Use that fact.)
 

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