Ice displacing water question, - really bad

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Homework Help Overview

The problem involves a rectangular block of ice floating in seawater, with specific dimensions and densities provided. The original poster seeks to determine how high the top of the ice block floats above the water level.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of the volume of ice and its displacement in seawater. There are attempts to relate the thickness of the ice to the height above water, with some questioning the appropriateness of using thickness alone. Others suggest using the total volume of the ice in calculations.

Discussion Status

The discussion is ongoing, with participants providing different calculations and questioning the methods used. There is no explicit consensus, but guidance has been offered regarding the need to consider the volume of the ice and the importance of maintaining consistent units.

Contextual Notes

There appears to be confusion regarding unit conversions, specifically between meters and centimeters. Participants are also grappling with how to properly relate the dimensions of the ice to the calculations of displacement and height above water.

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ice displacing water question, --need help really bad

Homework Statement


A rectangular block of ice 6 m on each side and 1.1 m thick floats in seawater. The density of the seawater is 1025 kg/m3. The density of ice is 917 kg/m3.

How high does the top of the ice block float above the water level?

please help!




Homework Equations





The Attempt at a Solution


1.1 x 917/1025 m = 984 cm (the amount of water displaced).
So, the ice sticks out of the water 1100-984 = 116cm = 1.16m

this is wrong though. sum1 please help!
 
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1 m = 100 cm.

You need to use the volume of the ice in your calculation, not just its thickness.
 
Last edited:
(1.1 x 6 x 6) x 917/1025 m = 35.428cm (the amount of water displaced).
So, the ice sticks out of the water 1100-35.428 = 1064.572cm = 1.064m

still wrong though
?
 
mujadeo said:
(1.1 x 6 x 6) x 917/1025 m = 35.428cm (the amount of water displaced).
So, the ice sticks out of the water 1100-35.428 = 1064.572cm = 1.064m

still wrong though
?

Why are you saying this is in cm? The original dimensions were given in meters (at least they were in your original post).
So, the ice sticks out of the water 1100-35.428 = 1064.572cm = 1.064m
Again, you can't just use the thickness of the ice. How can you subtract a volume from a length? That makes no sense. Draw a diagram, it might help. Once you find the submerged volume, you can find the volume of the ice remaining above the water (since you know the entire volume of the ice). Then you can find the height.

1.1 m DOES NOT equal 1100 cm. Don't bother changing things to cm. Why don't you want to just leave it in meters?
 
Last edited:

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