This is not actually a question from my tutorial but it stemed out from there.(adsbygoogle = window.adsbygoogle || []).push({});

So, here it goes:

Consider a block of ice partially submerged on water. It is floating, so by the principle of floatation and Archimedes' Principle, the weight of water displaced equals to the weight of the block of ice.

When the ice melts, we know that there is no rise of water level because the vol. of water produced by the ice when it melts equals to the vol. of water displaced.

Here's comes the part i don't understand: The ice is only partially submerged in the water, so the vol. of water displaced by the ice should only be the vol. of ice submerged in the water, am i correct? Then, the total vol. of ice will have to be greater than the vol. of water displaced and therefore when it melts, it should produce a vol. of water greater than the water displaced, but why it doesnt? Or is that, the vol. of ice is different from the vol. of water it produced when melted?

However, if i use the mathematical eqn and assuming the densities of ice and water are the same, I am able to get the vol. of water displaced =vol. of ice, which leaves me even more confused.

The eqn is :

M(ice)*g=Vol(water displaced/part of ice that is underwater)*p(water)*g

p(ice)*vol(ice)=Vol(water displaced)*p(water)

p(ice)=p(water)

Thus: Volume of ice=Vol(of water displaced/Vol.part of ice underwater)

Thanks a million for helping with my problem

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# Homework Help: A question on the Principle of Floatation

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