Question

Стальное тело, подвешенное на пружинных весах, опустили в сосуд с водой, после чего показания весов уменьшилось на 10%. Какая часть объёма тела оказалась в воде, если плотность стали в 7,8 раз превышает плотность воды? (Помогитее, пожаалуйста)

Answer 1

У меня такой же вопрос?

Answer 2

Calculation of the Volume of the Body Submerged in Water

To determine the part of the body's volume that is submerged in water, we can use the principle of buoyancy. According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

Let's denote: - V_body as the volume of the body, - V_submerged as the volume of the body submerged in water, - ρ_steel as the density of steel, - ρ_water as the density of water.

The weight of the body is given by the formula: W_body = m_body * g, where m_body is the mass of the body and g is the acceleration due to gravity.

The weight of the water displaced by the submerged part of the body is given by the formula: W_water = m_water * g, where m_water is the mass of the water displaced.

Since the body is in equilibrium, the weight of the body is equal to the weight of the water displaced: W_body = W_water.

Using the formulas for weight and density, we can rewrite the equation as: V_body * ρ_steel * g = V_submerged * ρ_water * g.

Simplifying the equation, we find: V_submerged = (V_body * ρ_steel) / ρ_water.

Now, let's substitute the given values into the equation and calculate the result.

Given: - The density of steel (ρ_steel) is 7.8 times greater than the density of water (ρ_water). - The weight of the body decreased by 10% when submerged in water.

To calculate the volume of the body submerged in water, we need to know the initial volume of the body (V_body). Unfortunately, the initial volume of the body is not provided in the question. Therefore, we cannot provide a specific numerical answer without this information.

However, we can still provide a general formula for calculating the volume of the body submerged in water based on the given information.

V_submerged = (0.9 * V_body * ρ_steel) / ρ_water.

Please provide the initial volume of the body (V_body) so that we can calculate the specific result for you.