A rectangular wooden block measures 10.0cm x 4.00cm x 2.00cm. when the block is placed in water, it floats horizontally, with it
s bottom face 1.65cm below the surface. what is the density of the wood? show and explain your work.
1 answer:
Answer:
The density of the wood is
ρ₂ = 1.21 g / cm³
Explanation:
The block measures
V₁ = 10.0 cm * 4.0 cm * 2.0 cm
V₁ = 80 cm³
Now the block measures under the water getting just the face below as 1.65 cm
V₂ = 10.0 cm * 4.0 cm * 1.65 cm
V₂ = 66 cm³
So to determine the density knowing the mass are the same as the weight
ρ₁ * V₁ = ρ₂ * V₂
Using the density of the water as a
ρ₁ = 1 g / cm ³
1 g / cm³ * 80 cm ³ = ρ₂ * 66 cm³
ρ₂ = 1.21 g / cm³
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