
66 балів! ФІЗИКА 7 КЛАС Нижню частину сполучених посудин наповнили ртуттю. У ліве коліноналили
олію, а в праве — гас, висота стовпчика якого 15 см. Якої висоти маєбути стовпчик олії, щоб рівень ртуті в посудинах не змінився? оформити згідно до вимог

Ответы на вопрос

Ответ: 11,3см
Объяснение:
Дано:
h1=15cм
ρ1=800кг/м³
ρ2=920кг/м³
-------------------
h2-?
h1/h2=ρ2/ρ1
h2=h1*ρ1/ρ2=15*800/920=11,3см



To determine the height of the oil column needed to maintain the level of mercury in the vessels, we can use the principle of Pascal's law, which states that pressure is transmitted equally in all directions in an enclosed fluid.
According to the problem, the right vessel is filled with gas, and the height of the gas column is 15 cm. The left vessel is filled with oil, and we need to find the height of the oil column.
To maintain the level of mercury in the vessels, the pressure at the bottom of both vessels must be equal. Since the vessels are connected, the pressure at the bottom of both vessels is the same as the pressure exerted by the mercury column.
We can use the equation:
P = ρgh
Where: - P is the pressure exerted by the mercury column, - ρ is the density of mercury, - g is the acceleration due to gravity, and - h is the height of the mercury column.
Since the pressure at the bottom of both vessels must be equal, we can equate the pressures:
P = P
ρgh = ρgh
Since the density and acceleration due to gravity are constant, we can cancel them out:
h = h
Therefore, the height of the oil column must be the same as the height of the gas column, which is 15 cm.
Please note that this answer is based on the information provided and assumes ideal conditions.


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