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Nov 3 2011 04:27pm
The Melting Ice Cube on Water Experiment
Apparently, if you pour some water in a cup, and plop an ice cube in, and wait until it melts, the water level will stay EXACTLY THE SAME.
I've done the math with the buoyancy equation and all, and got this:

The ice cube floats, so...

Buoyancy Force = Density * Displaced Volume * g.

So the Buoyancy Force = mg, because, again, the ice cube floats.

so mg = pVg, or m = pV.

So, let's say the ice cube has a mass of 1 kg and density of water is 1000 kg / m^3.

1 = 1000V.
So the ice cube displaces 1/1000 m^3 of water to stay afloat.

Okay, so let's say the ice cube suddenly liquifies into water.

Since density of ice is 916.7 kg/m^3...

density = mass / volume

916.7 = 1 / V

V = 916.7. Wtf?















































OOOOOOOOOOOOOHHHHHHH WAIIIIIIIIT!

It turns into WATER! NOT ICE!

Ohhh.


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Nov 3 2011 06:47pm
water level should go down slightly.
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Nov 3 2011 07:02pm
1 / 916.7 = 1.09 * 10^(-3)
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Nov 4 2011 04:50am
Quote (lone500 @ Nov 3 2011 03:47pm)
water level should go down slightly.


why?
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Nov 4 2011 07:17am
For the time that it would have taken for the cube to melt, would enough water have evaporated to notice a difference?
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Nov 4 2011 07:21am
Quote (Meeker @ Nov 4 2011 05:50am)
why?


water is more dense then ice hence why ice floats.

water expands upon freezing, put a plastic bottle filled with water* into your freezer and it will expand.

This post was edited by cialda on Nov 4 2011 07:22am
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Nov 4 2011 10:21am
Quote (cialda @ Nov 4 2011 09:21am)
water is more dense then ice hence why ice floats.

water expands upon freezing, put a plastic bottle filled with water* into your freezer and it will expand.


ive never even heard this before

thats pretty interesting
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Nov 4 2011 02:24pm
Quote (cialda @ Nov 4 2011 04:21am)
water is more dense then ice hence why ice floats.

water expands upon freezing, put a plastic bottle filled with water* into your freezer and it will expand.


Yeah, but like you said, the cube floats. It isn't completely submerged. The water level should remain the same.
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Nov 4 2011 04:23pm
Quote (Meeker @ Nov 4 2011 03:24pm)
Yeah, but like you said, the cube floats.  It isn't completely submerged.  The water level should remain the same.


and the ice cube also changes the temperature of the water when it melts which changes density. iirc 4 degrees Celsius is most dense.

and ya forgot about non-submerged parts havent done anything dealing with buoyancy in a few years ~.~

Quote (EsG_Accidents @ Nov 4 2011 11:21am)
ive never even heard this before

thats pretty interesting


im glad i could help you :)

This post was edited by cialda on Nov 4 2011 04:31pm
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