Melting ice and water displacement

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SUMMARY

The discussion centers on proving that the water level remains unchanged when ice melts, utilizing Archimedes's principle. Participants emphasize that the volume of ice submerged in water equals the volume of water displaced. The key equation presented is (V)ice = (V)displaced water, highlighting that the mass of ice above the surface contributes to the overall displacement. This principle confirms that as ice melts, it does not alter the water level in the container.

PREREQUISITES
  • Understanding of Archimedes's principle
  • Basic knowledge of fluid mechanics
  • Familiarity with concepts of volume and mass
  • Ability to apply mathematical equations related to displacement
NEXT STEPS
  • Research Archimedes's principle in greater detail
  • Explore fluid mechanics concepts related to buoyancy
  • Study the relationship between mass and volume in liquids
  • Investigate practical experiments demonstrating water displacement
USEFUL FOR

Students in physics, educators teaching fluid mechanics, and anyone interested in understanding the principles of buoyancy and water displacement.

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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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