How far a cube sinks below the waterlevel

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Homework Help Overview

The discussion revolves around a physics problem involving a wooden cube floating in water, specifically focusing on buoyancy and density. Participants are exploring how far the cube sinks below the water level and the mass required to adjust its buoyancy.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the buoyancy equation and its application to the problem. There are attempts to calculate the mass needed to keep the cube level with the water surface, with some questioning the values obtained from their calculations.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and expressing confusion over discrepancies between their results and those found in the textbook. Some guidance is offered, but no consensus has been reached on the correct approach or solution.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information available for solving the problem. There is also mention of differing interpretations of density and mass in relation to the cube and water.

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Homework Statement


A wood cube .30m on each side has a density of 700 kg/m^3 and floats levelly in water. (a) What is the distance from the top of the wood to the water surface? (b) What mass has to be placed on top of the wood so that its top is just at the water level.


Homework Equations


I assume the buoyancy equation.


The Attempt at a Solution


I figured out part (a) no problem, but seem to be having difficulty with part (b).

I assume it has to be:
Density=(mass/volume)?
When i do that I get 18.9, where the back of the book says 8.9

Thanks guys so much! Hope once I actually get good at physics I can come back and help people similar to myself!
 
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How much would the wooden block weigh if its density was the same as the density of water?
 
Sorry, but I'm still lost?

So

1000=(mass/.027)
mass=27?

Thanks!
 
27 what?
 
27kg

Which is not what they had in the back of the book (they had 8.9).

Thanks You again!
 
How much does a cube of water weigh which is 0.30 m on each side?
 

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