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Introductory Physics Homework Help
Consider three models of the Mass distribution in the Milky Way
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[QUOTE="Barbequeman, post: 6615170, member: 697037"] [B]Homework Statement:[/B] Consider three models of the mass distribution in the Milky Way. Model 1 has a constant circular velocity Vc. Model 2 places all the mass of the Milky Way at a single point at the centre of the Galaxy. Model 3 consists of a system in which the mass of the system is distributed in a sphere of constant density. In this model you can use Newton’s Theorem to compute the circular velocity. The following rule about derivatives can be used. Suppose you have a function: Question A. is For each of the three models, write down the equation of the circular velocity as a function of radius. (Hints: For model 1 this should be trivial. For model 2 equate the gravitational and centrifugal forces. For model 3 follow a similar procedure to what you did for model 2, but considering the mass enclosed at a given radius.) Question B. is Therefore, for each of the three models, calculate dV/dR [B]Relevant Equations:[/B] V=V_0*R^n then the derivative is given by: dV/dR=V_0nR^n-1 I attached a Jpeg with my attempted solution but I´m not sure if I´m on the right way... I hope for a correction in my calculations [/QUOTE]
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Introductory Physics Homework Help
Consider three models of the Mass distribution in the Milky Way
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