Question

7. Найти плотность «Белого карлика», если масса звезды в 2,8 раз больше массы Солнца, а радиус в 2 раза меньше радиуса Земли.

Answer 1

Ответ:  Плотность "белого карлика" ≈ 4,112 *10^10 кг/м³

Объяснение:   Дано:

Масса Солнца Мс = 1,9885*10^30 кг

Радиус Земли Rз = 6371 км = 6,371*10^6 м

Найти плотность "белого карлика" ρ - ?

Плотность "белого карлика" равна частному от деления массы "белого карлика" на его объем,  т.е.    ρ = Мк/Vк,  

здесь  Мк - масса "белого карлика"  Мк = 2,8Мс.

Vк - объем "белого карлика".  Vк = 4*π*Rз³/(3*8).

Таким образом:  ρ = (2,8Мс)*(3*8)/4*π*Rз³ = 2,8*1,9885*10^30*24/4π* (6,371*10^6)³ ≈ 4,112 *10^10 кг/м³

Answer 2

Finding the Density of a "White Dwarf" Star

To find the density of a "White Dwarf" star, we can use the given information that the mass of the star is 2.8 times greater than the mass of the Sun, and the radius is 2 times smaller than the radius of the Earth.

Step 1: Calculate the Volume of the White Dwarf The volume of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 \] where \( r \) is the radius of the sphere.

Given that the radius of the white dwarf is 2 times smaller than the radius of the Earth, we can denote the radius of the white dwarf as \( r_{wd} = \frac{1}{2} r_{earth} \).

Step 2: Calculate the Mass of the White Dwarf The mass of the white dwarf is given as 2.8 times the mass of the Sun.

Step 3: Calculate the Density The density of an object is given by the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Let's calculate the density using the given information.

Calculation

Using the given information and the formulas mentioned above, we can calculate the density of the "White Dwarf" star.

Step 1: Calculate the Volume of the White Dwarf \[ r_{wd} = \frac{1}{2} r_{earth} \]

Step 2: Calculate the Mass of the White Dwarf The mass of the white dwarf is 2.8 times the mass of the Sun.

Step 3: Calculate the Density \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Result

The density of the "White Dwarf" star can be calculated using the above steps and formulas.

Let's proceed with the calculations.