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Using the rotation curve above, fill in the rotational velocity for each indicated radius. Then, use this equation to calculate gravitational mass (in solar masses) at each radius. M = R where G = 4.31. 10-6 kpc km² Mos² Your values for M should be quite large, since we are talking about the mass of a galaxy! So, please express these large numbers in scientific notation. A Radius (kpc) 2 + 6 8 10 B Rotational Velocity (km/s) C Gravitational Mass (Mo) Sanity check: The mass should increase with larger radii, since you are calculating the total mass enclosed within each widening orbit.

Using the rotation curve above, fill in the rotational velocity for each indicated radius. Then, use this equation to calculate gravitational mass (in solar masses) at each radius. M = R where G = 4.31. 10-6 kpc km² Mos² Your values for M should be quite large, since we are talking about the mass of a galaxy! So, please express these large numbers in scientific notation. A Radius (kpc) 2 + 6 8 10 B Rotational Velocity (km/s) C Gravitational Mass (Mo) Sanity check: The mass should increase with larger radii, since you are calculating the total mass enclosed within each widening orbit.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Radial velocity vs Radius from center Using Newton's gravity equation, we will be able to determine the gravitational mass profile of the galaxy. This is a plot that shows the redshifted portion of the galaxy (which is spinning away from us) with the velocities corrected for inclination angle. So, the velocities in this graph represent the true orbital velocities of the stars and gas at each point in the galaxy's disk. Radial velocity, v (km s-¹) 175 150 125 100 75 50 25 O 0 Best-fit line NGC 2742 data 8 1 2 3 Rotation curve for NGC 2742 Power law best-fit: v=aRb where a 94 km s-¹ and b=0.28 4 5 6 Radius from center, R (kpc) 7 8 9 10
Transcribed Image Text:Radial velocity vs Radius from center Using Newton's gravity equation, we will be able to determine the gravitational mass profile of the galaxy. This is a plot that shows the redshifted portion of the galaxy (which is spinning away from us) with the velocities corrected for inclination angle. So, the velocities in this graph represent the true orbital velocities of the stars and gas at each point in the galaxy's disk. Radial velocity, v (km s-¹) 175 150 125 100 75 50 25 O 0 Best-fit line NGC 2742 data 8 1 2 3 Rotation curve for NGC 2742 Power law best-fit: v=aRb where a 94 km s-¹ and b=0.28 4 5 6 Radius from center, R (kpc) 7 8 9 10
Using the rotation curve above, fill in the rotational velocity for each indicated radius. Then, use this equation to calculate gravitational mass (in solar masses) at each radius. M = R where G = 4.31 10-6 kpc km² Mos² Your values for M should be quite large, since we are talking about the mass of a galaxy! So, please express these large numbers in scientific notation. A Radius (kpc) 2 + 6 8 10 B Rotational Velocity (km/s) C Gravitational Mass (Mo) Sanity check: The mass should increase with larger radii, since you are calculating the total mass enclosed within each widening orbit.
Transcribed Image Text:Using the rotation curve above, fill in the rotational velocity for each indicated radius. Then, use this equation to calculate gravitational mass (in solar masses) at each radius. M = R where G = 4.31 10-6 kpc km² Mos² Your values for M should be quite large, since we are talking about the mass of a galaxy! So, please express these large numbers in scientific notation. A Radius (kpc) 2 + 6 8 10 B Rotational Velocity (km/s) C Gravitational Mass (Mo) Sanity check: The mass should increase with larger radii, since you are calculating the total mass enclosed within each widening orbit.
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