Final answer:
To find the approximate mass of the dark and luminous matter in the Milky Way galaxy, we calculate the mass of the luminous matter and the dark matter separately, and then add them together. The mass of the luminous matter is found by multiplying the number of stars by their average mass, while the mass of the dark matter is found by multiplying the mass of the luminous matter by 10. The final result is the combined mass of the dark and luminous matter.
Step-by-step explanation:
To find the approximate mass of the dark and luminous matter in the Milky Way galaxy, we start by calculating the mass of the luminous matter. We are given that there are approximately 10¹¹ stars in the Milky Way, with an average mass of 1.5 times that of our Sun. This means that the total mass of the luminous matter is 10¹¹ times 1.5 times the mass of the Sun.
Next, we calculate the mass of the dark matter, which is given to be 10 times as massive as the luminous matter. We simply multiply the mass of the luminous matter by 10.
Finally, to find the approximate mass of the dark and luminous matter combined, we add the mass of the luminous matter to the mass of the dark matter.
Using these calculations, we find that the approximate mass of the dark and luminous matter in the Milky Way galaxy is 2.4×10⁴²kg.