# Archimedes principle problem.

1. Apr 4, 2010

### chmate

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 $$Fa=W/2$$ (inside water force equals weight of the body divided by two). Then:

$$\rho 1$$ -> density of water
$$\rho 2$$ -> density of body
$$V$$ -> volume

$$\rho 1 gV=\dfrac{\rho 2gV}{2}$$

$$\rho 1=\dfrac{\rho 2}{2}$$
$$\rho 2=2\rho 1$$

Anything wrong?

Thank you.

2. Apr 4, 2010

### Staff: Mentor

Looks good to me.