anonymous one year ago We have a wooden piece with a volumetric mass of 800kg/m^3 and a mass of 200c.m^2 that floats on water. Find the submerged volume of the piece. (Knowing that the volumetric mass of water is 1000kg/m^3)

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1. anonymous

2. anonymous

Well i don't know how to explain it because english is my second language

3. anonymous

I wish if I could post a picture

4. anonymous

The question is to find the volume of the submerged part of the wooden piece

5. IrishBoy123

"volumetric mass " = density what does this mean: "200c.m^2"

6. IrishBoy123

weight or mass? they are edifferent. do you mean 100g ?? 0.1kg?? c.m^2 does not mean anything obvious

7. anonymous

Soooooorrrryy my bad, it's volume i meant

8. anonymous

You have to change it into m^3

9. IrishBoy123

so its volume is 200. 200 what? you wrote c.m^2 for your units.

10. anonymous

Yea yes you have to change it into cubic meter

11. IrishBoy123

the relevant principle is : A floating object displaces its own mass of the fluid in which it floats. so for a body (b) in water (w) we can say $$m_b = m_w$$ for the mass of body and the mass of displaced water thus $$\rho_b * V_b = \rho_w* V_w$$ where $$\rho$$ is density and $$V$$ is volume plug in numbers

12. anonymous

Pb =800kg/m^3. Pw=1000kg/m^3. Vb= 200cm^3=200*10^-6m^3

13. IrishBoy123

$$\huge V_w = \frac{ρ_b∗V_b}{ρ_w}$$