/sci/ - Science & Math

>>3562706
But it will. An icecube in water will float on the surface, displacing less water due to a part of it not actually being underwater.

>>3562746
Exactly. Think of an iceberg.

>>3562746
lol he doesn't know how water works

Y1>Y2

>>3562706
That equation comes from the law of conservation of mass, which is the only thing unaffected by the phase change, unlike volume, which rises when the ice melts.

>>3562752

ITT, people who don't know that water+melting ice doesn't result in a higher water level.
Give me a minute OP, I've seen this demonstration before

>>3562746
>>3562749
Nope. The water level doesn't change.

>>3562764
The volume of the water goes down, but the ice correspondingly gets lighter (due to melting), and so displaces less water.

I feel like that equation isn't the whole story here, OP. You need to show the volume of ice that's actually displacing water before the ice melts, and compare that with the total volume of water formed when the ice melts.

let Vice be the volume of the ice, Vwater that of the water.
if the ice melts, you will obtain a volume of water equal to V'=Vice*Y2/Y1
So the final volume of water is Vwater+V'=Vwater+Vice*Y2/Y1

however, due to archemede principle, the ice is floating, and
P=Y1*Vimmerged*g
the mass of the icecube is Vice*Y2, and at an equilibrium state:
Vice*Y2=Y1*Vimmerged
so Vimmerged = Vice*Y2/Y1

so the initial level of water is Vwater+Vimmerged=Vwater+V'
therefore, the level of water doesn't rise

>>3562791
Wait, but the net change of volume from ice to liquid water must be plus. I'm confused

OP here, heads in a fucking spin, textbook doesnt explain, but the main thing is to solve the problem i need to equate the submerged volume of V2 is equal to volume of water displaced by V2

>>3562879
see >>3562838
this is the proof I had in one of my exercises a fex years ago

>>3562894


What does P stand for?

>>3562911
the archimede force (sorry not really fluent in English, but you can understand)

An icecube melting in water wont raise the water level though anyways.
When you drop the icecube in, it raises the water level because of its solid form and weight. So when it melts it will stay at the same level anyways because the melting water will make up for the slowly solid icecube weight and pressure. Forget all the math, you dont need it, all you need is the logics of matter and weight.
Hope you understood what I just said :)

How does no one here understand that water itself is actually denser than ice(molecules in ice, while set in place, are actually further apart than molecules in water), meaning that if the ice were to melt the water level would actually DECREASE. This same principle has been used to dickslap people who say icecaps will melt and flood the earth.

Pic completely related.

Samfagging. Meant that the water level would decrease given that the ice was present at the beginning of observation.

>>3562706

is that TIBERIUM?!

>How can I prove that an icecube melting in water will not raise the water level?
put ice in glass
pour water till at brim of glass
wait for ice to melt
did it overflow?
no?
it didn't raise the water level

>>3562746

no, it will not. one ice cube, in a glass of water, has a very small percentage above the surface.

>>3563611

that's imprecise at best due to surface tension

The mass of the water displaced in the cup will be equal to the cubes mass (Archimedes). When the cube becomes water it must still displace the same amount (volume) of water because its mass has not changed. Now we know that the density of the cube water and the displaced cup water is the same since they are both water. Therefore we know that the volume must remain constant (because density = mass/volume).
tl;dr
Mwater = Mmeltwater
Dwater = Dmeltwater
V = M/D

ITT: people who can't read a proof a few posts below.

ITT: people who can't read a proof a few posts above