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If the dark matter in the Milky Way were composed entirely of MACHOs (evidence shows it is not), approximately how many would there have to be? Assume the average mass of a MACHO is 1$/ 1000$ that of the Sun, and that dark matter has a mass 10 times that of the luminous Milky Way galaxy with its $10^{11}$ stars of average mass 1.5 times the Sun's mass.

$1.5 \times 10^{15}$

Physics 103

Chapter 34

Frontiers of Physics

Wave Optics

Particle Physics

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

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So the problem is too. Find approximate mass off our galaxy and we are given that the luminous matter salami call this luminous matter is this 10 to 11 times the mass of the sun. So what I mean is that there are roughly tend to the 11 stars whose average mass is 1.5 times the mass of the sun. So this is the luminous Mado. And then you're also stated in the problem that we have dark matter whose mass is 10 times the luminous matter, right? Good. So the total mass becomes the dark matter which I called him D m and the luminess matter. Now I plug in How much dark might I have, which is 10 times the luminous matter, plus the regular luminous matter. So the total mass is 11 times the luminous matter. So now I just plug in this relation and I obtain that 11 times 10 to the 11 times 1.5 times the mass of the sun. And we can refer to the text book for the mass of the Sun and tells us the mass of the sun Is this 1.99 into tented 30 kilograms. Just do a simple calculation, and this tells you that the mask off our galaxy is three times 10 to the 42 kilograms. That's a huge number.

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