Question

В левом колене сообщающихся сосудов налита вода в правом - бензин Высота столба бензина равна 12 см. Найди на сколько уровень воды в левом колене ниже верхнего уровня бензина плотность бензина равна p1 = 700кг/м3 ответ округли до тысячных уровень воды в левом колене ниже верхнего уровня

Answer 1

Ответ: 3,6см

Объяснение:

Дано:

ρ1 = 1000кг/м³

ρ2 = 700кг/м³

h2 = 12см = 0,12м

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h2 - h1-?

Гидростатические давления жидкостей в сообщающихся сосудах равны:

р1 = р2,

p = ρ * g * h,

ρ1 * g * h1 = ρ2 * g * h2,

ρ1 * h1 = ρ2 * h2,

h1 = ρ2 * h2/ρ1 = 700 * 0,12м/1000 = 0,084м;

h2 - h1 = 0,12м - 0,084м = 0,036м = 3,6см.

Answer 2

Calculation of Water Level in the Left Knee

To find the level of water in the left knee relative to the upper level of the gasoline in the right knee, we can use the principles of fluid mechanics and the densities of water and gasoline.

Given: - Height of the gasoline column (h): 12 cm - Density of gasoline (ρ1): 700 kg/m^3

We need to calculate the level of water in the left knee relative to the upper level of the gasoline.

Solution:

The pressure at the same horizontal level in the two communicating vessels is the same. Using this principle, we can calculate the level of water in the left knee.

Let's denote: - h1 = Height of water in the left knee - ρ2 = Density of water (which is 1000 kg/m^3)

The pressure at the top of the water column in the left knee is the atmospheric pressure, which is the same as the pressure at the top of the gasoline column in the right knee.

Using the formula for pressure at a depth in a fluid: P = ρgh

Where: - P = Pressure - ρ = Density of the fluid - g = Acceleration due to gravity - h = Height of the fluid column

The pressure at the top of the water column in the left knee is the same as the pressure at the top of the gasoline column in the right knee.

So, we have: ρ1 * g * 12 = ρ2 * g * h1

Solving for h1: h1 = (ρ1 * 12) / ρ2

Substitute the given values: h1 = (700 * 12) / 1000

Calculating: h1 = 8.4 cm

Answer:

The level of water in the left knee is 8.4 cm below the upper level of the gasoline in the right knee.