Question

Деревянный кубик, плавающий в воде ,погружён в неё на 3/4 своего объёма.Найдите плотность кубика.Помогите!!!!!!!!!!! Пожалуйсто с РЕШЕНИЕМ

Answer 1

Если плотность воды 1000 кг/м³,то 3/4   равно  750 кг/м³,
что в среднем составляет плотность дуба по табл.
Или наоборот, если 1/4 часть  находится на  поверхности воды,
значит на 250 легче воды:1 000-250 = 750 плотность дерев. кубика

Answer 2

Finding the Density of the Wooden Cube

To find the density of the wooden cube, we need to use the formula:

Density (ρ) = Mass (m) / Volume (V)

We are given that the wooden cube is submerged in water up to 3/4 of its volume. Let's assume the total volume of the cube is V.

The volume of the submerged part of the cube is (3/4)V, and the volume of the part above the water is (1/4)V.

Since the cube is floating, the buoyant force acting on it is equal to the weight of the water displaced by the submerged part of the cube.

Using Archimedes' principle, the buoyant force (F) is given by:

F = ρ_water * g * V_submerged

where ρ_water is the density of water and g is the acceleration due to gravity.

The weight of the cube (W) is given by:

W = ρ_cube * g * V_total

where ρ_cube is the density of the cube.

Since the cube is floating, the buoyant force is equal to the weight of the cube:

F = W

Substituting the values, we have:

ρ_water * g * V_submerged = ρ_cube * g * V_total

Simplifying the equation, we get:

ρ_cube = (ρ_water * V_submerged) / V_total

Now, let's calculate the density of the wooden cube using the given information.

Calculation

From the given information, we know that the cube is submerged in water up to 3/4 of its volume.

Let's assume the total volume of the cube is V.

The volume of the submerged part of the cube is (3/4)V, and the volume of the part above the water is (1/4)V.

Using the formula for density, we have:

ρ_cube = (ρ_water * V_submerged) / V_total

Substituting the values, we have:

ρ_cube = (ρ_water * (3/4)V) / V

Simplifying the equation, we get:

ρ_cube = (3/4) * ρ_water

Therefore, the density of the wooden cube is (3/4) times the density of water.

Answer

The density of the wooden cube submerged in water up to 3/4 of its volume is (3/4) times the density of water.

Please note that the exact value of the density depends on the density of water, which is approximately 1000 kg/m^3.

I hope this helps! Let me know if you have any further questions.