Question

В цилиндрический сосуд с площадью дна S = 15 см2, содержащий масло подсолнечное объёмом 100 см3, налили молоко объёмом 75 см3. Принимая во внимание, что масло не смешивается с молоком, определи давление сосуде. Плотность молока ρ​=1,03 г/см3, плотность масла 0,93 г/см3. Атмосферное давление не учитывать. Ускорение свободного падения g=10 м/с2.

Answer 1

Ответ: 1133Па

Объяснение:

Дано:

S=15cм²=0,0015м²

V1=100см³

V2=75cм³

ρ1=0,93г/см³

ρ2=1,03г/см³

g=10Н/кг

-------------------

р-?

р=Р/S

P=mg

m=ρ1*V1+ρ2*V2=0,92*100+1,03*75=169,25г=0,17кг

Р=0,17*10=1,7Н

р=1,7/0,0015=1133Па

Answer 2

Calculation of Pressure in the Vessel

To calculate the pressure in the vessel, we need to consider the two substances present: oil and milk. Since oil does not mix with milk, we can treat them as separate layers.

The pressure in a fluid is given by the formula: P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column.

Let's calculate the pressure for each layer separately and then add them together to get the total pressure in the vessel.

# Pressure due to the Oil Layer

The volume of oil is given as 100 cm³, and the density of oil is 0.93 g/cm³ To calculate the height of the oil column, we can use the formula: V = Ah, where V is the volume, A is the area of the base, and h is the height.

The area of the base is given as 15 cm². Substituting the values into the formula, we can solve for h:

100 cm³ = 15 cm² * h

h = 100 cm³ / 15 cm²

h ≈ 6.67 cm

Now, we can calculate the pressure due to the oil layer using the formula P = ρgh:

P_oil = 0.93 g/cm³ * 10 m/s² * 6.67 cm

P_oil ≈ 61.67 Pa

# Pressure due to the Milk Layer

The volume of milk is given as 75 cm³, and the density of milk is 1.03 g/cm³ Using the same formula as before, we can calculate the height of the milk column:

75 cm³ = 15 cm² * h

h = 75 cm³ / 15 cm²

h = 5 cm

Now, we can calculate the pressure due to the milk layer:

P_milk = 1.03 g/cm³ * 10 m/s² * 5 cm

P_milk = 51.5 Pa

# Total Pressure in the Vessel

To find the total pressure in the vessel, we add the pressures due to the oil and milk layers:

P_total = P_oil + P_milk

P_total ≈ 61.67 Pa + 51.5 Pa

P_total ≈ 113.17 Pa

Therefore, the pressure in the vessel is approximately 113.17 Pa.

Please note that this calculation does not take into account the atmospheric pressure, as specified in the question.