Change the chapter
What fraction of ice is submerged when it floats in freshwater, given the density of water at $0^\circ\textrm{ C}$ is very close to $1000 \textrm{ kg/m}^3$
Question by OpenStax is licensed under CC BY 4.0.
Solution Video

OpenStax College Physics Solution, Chapter 11, Problem 36 (Problems & Exercises) (0:40)

Sign up to view this solution video!


No votes have been submitted yet.

Quiz Mode

Why is this button here? Quiz Mode is a chance to try solving the problem first on your own before viewing the solution. One of the following will probably happen:

  1. You get the answer. Congratulations! It feels good! There might still be more to learn, and you might enjoy comparing your problem solving approach to the best practices demonstrated in the solution video.
  2. You don't get the answer. This is OK! In fact it's awesome, despite the difficult feelings you might have about it. When you don't get the answer, your mind is ready for learning. Think about how much you really want the solution! Your mind will gobble it up when it sees it. Attempting the problem is like trying to assemble the pieces of a puzzle. If you don't get the answer, the gaps in the puzzle are questions that are ready and searching to be filled. This is an active process, where your mind is turned on - learning will happen!
If you wish to show the answer immediately without having to click "Reveal Answer", you may . Quiz Mode is disabled by default, but you can check the Enable Quiz Mode checkbox when editing your profile to re-enable it any time you want. College Physics Answers cares a lot about academic integrity. Quiz Mode is encouragement to use the solutions in a way that is most beneficial for your learning.

Video Transcript
This is College Physics Answers with Shaun Dychko. We want to know what fraction of a piece of ice is submerged in fresh water at 0 degrees Celsius. So the fraction submerged is the density of the thing floating divided by the density of the fluid that it's in and we look up the density of ice in our table [11.1] and it is 0.917 times 10 to the 3 kilograms per cubic meter and we divide that by the density of freshwater at 0 degrees which we are told is 1000 kilograms per cubic meter. So the 1000's cancel leaving us with 0.917 is the fraction submerged.