1 explain in words how the virial theorem for

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Unformatted text preview: ven’t already). 1. Explain (in words) how the virial theorem for gravitational systems 2 K + U =0 allows you to use the redshift-measured velocities for galaxies in a galaxy cluster to determine the mass of the galaxy cluster. I am not asking you to actually do any derivations of an expression for the mass, rather, I want you to explain how you obtain K and U and how they are related to velocities and the masses. 2. [C&O 25.11 (tweaked)] Let’s consider the evidence for a supermassive black hole at the center of our neighbor, the Andromeda galaxy (aka M31). a. From the data shown in Figure 25.37 (reproduced here) for the stellar rotational v elocities near the center of M31, estimate the amount of mass within 1” of t he center of th...
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