Melting ice and water displacement

[ncote]

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?

 

[Doc Al]

Consider Archimedes's principle.

 

[ncote]

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.

 

[Doc Al]

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.)