Assignment_04

# Assignment_04 - SCIENCE 238 Assignment#4 1 Estimate the...

This preview shows pages 1–2. Sign up to view the full content.

1) Estimate the mass distribution of the galaxy with rotation as given in the plot (below) of rotation speed v versus R, the distance from the centre of the galaxy. (a) Compute the mass at 6 points, R=2, 5, 10, 15, 20, and 25 kpc from estimates of the rotation speed in the given plot. (b) Make a plot of log 10 (mass), on the y-axis, versus log 10 (R) from the centre of this galaxy. In class it was shown that the circular rotation velocity v for material in orbit around the centre of the galaxy is v 2 GM R R where G is the gravitational constant and M R is the mass interior to a point a distance R from the center. The textbook has a similar equation in an example. If the mass in the galaxy is distributed in a spherically symmetric fashion with a density distribution that goes like 1 R then the mass distribution will look like M R R 3 The average slope of your plot will be 3 – . might be for this galaxy. (Marks: 4)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

Assignment_04 - SCIENCE 238 Assignment#4 1 Estimate the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online