Question

Тело состоит из двух частей: первая имеет плотность в 2 раза меньшую второй, и объем в 4 раза меньший второй. Найти среднюю плотность тела, если плотность первой части 2г/см3.​

Answer 1

Ответ:

4/3 g/sm^3

Объяснение:

(p*V+2p*0,5V)/(V+0,5V)=2p*V/1,5V=4/3p=4/3 g/sm^3

Answer 2

Calculating the Average Density of the Body

To calculate the average density of the body, we can use the formula:

Average Density = Total Mass / Total Volume

Given: - The first part of the body has a density 2 times smaller than the second part. - The volume of the first part is 4 times smaller than the second part. - The density of the first part is 2 g/cm³.

Let's calculate the average density step by step.

1. Calculate the Density of the Second Part: - Given the density of the first part is 2 g/cm³, the density of the second part would be 2 * 2 = 4 g/cm³.

2. Calculate the Total Volume of the Body: - Let's assume the volume of the second part is V. Then, the volume of the first part would be 1/4 * V, as it is 4 times smaller. - The total volume of the body would be V + 1/4 * V = 5/4 * V.

3. Calculate the Total Mass of the Body: - The mass of the first part would be 2 * (1/4 * V) = 1/2 * V. - The mass of the second part would be 4 * V = 4V. - The total mass of the body would be 1/2 * V + 4V = 9/2 * V.

4. Calculate the Average Density: - Using the formula, Average Density = Total Mass / Total Volume, we get: - Average Density = (9/2 * V) / (5/4 * V) = (9/2) / (5/4) = (9/2) * (4/5) = 18/5 = 3.6 g/cm³.

Therefore, the average density of the body is 3.6 g/cm³.