a block of wood floats in brine solution of density 1.5g/cm³ such that three fifths of its volume is immersed into the brine solution calculate the density of wood
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Answer:
n a block of wood floats in brine solution of density 1.5g/cm³ such that three fifths of its volume is immersed
Explanation:
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Answer:
density of the block = 0.48 g/cm³
Explanation:
Given,
A block of wood floats in brine solution of density 1.15 g/cm^3 such that 3/5 th of its volume immersed into the brine.
To find: the density of wood.
Solution:
Let density of wood be ρ g/cm³ and volume be V cm³.
Weight of block of wood = Vρg = 980 Vρ cm/s²
Buoyancy force acting on the block = 3/5 * ( V * 0.8 * 980)
According to Archimedes Principle,
Weight of block = Buoyancy force acting on the block
i.e W = Fb
or, 980Vρ = 3/5 * ( V * 0.8 * 980)
ρ = 0.6 * 0.8= 0.48 g/cm³
Therefore, density of block = 0.48 g/cm³
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