A piece of wood floating in water above the surface of the water has 20% of its volume. Find the density of the tree.
| September 7, 2021 | education
To find the density of the considered piece of wood, we use the equality: Ft = Fа; m * g = ρw * g * Vp; ρd * V = ρw * Vp and ρd = ρw * Vp / V.
Constants and variables: ρw – water density (ρw = 1 g / cm3); Vp (volume of the submerged part) = 0.8V (volume of a piece of wood).
Calculation: ρd = ρw * Vp / V = 1 * 0.8V / V = 0.8 g / cm3.
Answer: A floating piece of wood has a density of 0.8 g / cm3.
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