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letyourmemesbedreams
20.02.2020 •
Physics
Oil having a density of 923 kg/m3 floats on water. A rectangular block of wood 3.72 cm high and with a density of 961 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?
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Ответ:
1.83 cm below the interface
Explanation:
There are three forces acting on the block of wood here:
- The weight of the block, downward, of magnitude
where
V is the total volume of the block
- The buoyant force on the part of block immersed in the water, upward, of magnitude
where
- The buoyant force on the part of block in the oil, upward, of magnitude
where
Since the block is in equilibrium, we have
We also know that
Since the block is completely immersed in the two liquids; so we can re-arrange the equations and find:
This means that the fraction of volume in water is 0.974 times the fraction of volume in oil.
We also know that the volume of the block in each medium is proportional to the height of the block in each medium, so
We also know that the total height of the block is
so
And substituting into (1), we find
Ответ:
Option C
Explanation:
Hydrocarbon + Oxygen = Carbon dioxide + Water
is example of combustion reaction