Question

Герметичный тонкостенный металлический куб с ребром 1 м полностью заполнен жидкостью под давлением. Сила воздействующая изнутри на верхнюю грань куба, составляет 150 кН, а сила, действующая изнутри на нижнюю грань куба, составляет 0,158 МН. Какова плотность жидкости внутри куба? А. 0,4 г/см3 Б. 0,8 г/см3 В. 400 кг/м3 Г. 800 кг/м3 Д. 1600 кг/м3 СРОЧНОООООО!!!! Помогите, пожалуйста! Спасибо

Answer 1

H=1 м                                   Архимедова сила:
F₁=150 кН =150000 Н        F₂-F₁-ρgh    ⇒     ρ=(F₂-F₁)/gh;
F₂=158 кН=158000 Н          ρ=(158000-150000)/10*1=800 кг/м³.
g=10 Н/м                             Ответ: Г ).
_________________
ρ-?

Answer 2

Calculation of Liquid Density

To calculate the density of the liquid inside the cube, we can use the given information about the forces acting on the top and bottom faces of the cube.

The force acting on the top face of the cube is 150 kN, and the force acting on the bottom face is 0.158 MN (mega-newtons).

We can use the formula for pressure to relate the force and area of the face:

Pressure = Force / Area

The pressure acting on the top face is given by:

Pressure on top face = Force on top face / Area of top face

Similarly, the pressure acting on the bottom face is given by:

Pressure on bottom face = Force on bottom face / Area of bottom face

Since the cube is completely filled with liquid and is under pressure, the pressure acting on the top face is equal to the pressure acting on the bottom face.

Therefore, we can equate the two pressure equations:

Pressure on top face = Pressure on bottom face

Using the formula for pressure, we can write:

(Force on top face / Area of top face) = (Force on bottom face / Area of bottom face)

The area of the top face is equal to the area of the bottom face, as they are both squares with side length 1 m.

Let's denote the area of the top/bottom face as A.

The equation can be simplified to:

Force on top face = (Force on bottom face * Area of top face) / Area of bottom face

Substituting the given values:

150 kN = (0.158 MN * A) / A

Simplifying the equation:

150 kN = 158 kN

Since the equation is true, we can conclude that the given information is inconsistent or incorrect. The forces provided do not satisfy the condition of equal pressure on the top and bottom faces of the cube.

Therefore, we cannot determine the density of the liquid inside the cube based on the given information.

Please double-check the values and provide accurate information to proceed with the calculation.