
Concept explainers
(a)
Interpretation:
A formula for the density of the block should be derived.
Concept introduction:
It is given that a rectangular block floats at the interface between two immiscible liquids. The dimensions of the block are given as follows,
Height of the block =
Cross sectional area of the block =
Density of the light liquid =
Density of the heavy liquid =
Height from top surface of light liquid to the top surface of the block =
Height from the top of the block to the liquids interface =
Height from liquid interface to the bottom of block =
Archimedes' principle,
According to Archimedes principle the upward buoyant force that is exerted on a body immersed in a fluid, is equal to the weight of the fluid that the body displaces.
(b)
Interpretation:
Prove that the two approaches used to balance force on the block are correct.
Concept introduction:
It is given that a rectangular block floats at the interface between two immiscible liquids. The dimensions of the block are given as follows,
Height of the block =
Cross sectional area of the block =
Density of the light liquid =
Density of the heavy liquid =
Height from top surface of light liquid to the top surface of the block =
Height from the top of the block to the liquids interface =
Height from liquid interface to the bottom of block =
Archimedes' principle,
According to Archimedes principle the upward buoyant force that is exerted on a body immersed in a fluid, is equal to the weight of the fluid that the body displaces.

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