Buoyancy, depth a block will sink in two different liquids

1. The problem statement, all variables and given/known data

4. The bottom half of a tank is filled with water (ρ = 1.0 x 103 kg/m3), and the top half is filled with oil (ρ = 0.85 x 103 kg/m3). Suppose that a rectangular block of wood of mass 5.5 kg, 30 cm long, 20 cm wide and 10 cm high is placed in this tank. How deep will the bottom of the block be submerged in the water? (Buoyancy)

2. Relevant equations

[tex]F_{net} = B – F_g[/tex]

[tex]B = ma[/tex]

3. The attempt at a solution

I thought I would solve for the rate at which the block of wood accelerates in oil. Using that, I would solve for the volume of fluid displaced using the equation [tex]B = ma[/tex] Here is my full work: http://ift.tt/1ifyFzN

Is my reasoning correct?


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