Archimedes principle problem.

  • Thread starter chmate
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  • #1
chmate
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Hello all!

Inside the water, body weights two times less than in air. Density of water is 1000kg/m^3. Find the density of body.


1. Well I tried this solution and i'm not sure if it's correct. I started from this principle [tex]Fa=W/2[/tex] (inside water force equals weight of the body divided by two). Then:


[tex]\rho 1[/tex] -> density of water
[tex]\rho 2[/tex] -> density of body
[tex]V[/tex] -> volume

[tex]\rho 1 gV=\dfrac{\rho 2gV}{2}[/tex]

[tex]\rho 1=\dfrac{\rho 2}{2}[/tex]
[tex]\rho 2=2\rho 1[/tex]

Anything wrong?

Thank you.
 

Answers and Replies

  • #2
Doc Al
Mentor
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1,850
Looks good to me.
 

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