<p>It's asking exactly what it says- <em>where</em> would you expect this material to end up? Giving a distance from the center of the galaxy may be relevant, or it may not, depending on exactly what speed you end up with, and how it compares to galactic orbital / escape velocity. If the velocity is well above galactic escape velocity, giving a specific distance from the galactic core doesn't make much sense- there will be no fixed distance, the stuff will just keep going, achieving greater and greater distances.</p>

<p>So, the first step is indeed to solve and check if average speed > orbital velocity or not (because the question says to do so), and a good second step would indeed be to check if it's less or greater than escape velocity. And from that information, you can guess generally where the stuff will go- stay reasonably close to the original orbit of the star? or stay in galactic orbit, but spread out in some wildly different range of orbits than what the original star had? or completely ejected from the galaxy?</p>

CC BY-SA 3.0
2015-07-10T02:35:27.963Z
Thank you! The actual answer is well above the galactic escape velocity so I don't think we need to do the calculations for distance
stackErr
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2015-07-10T09:21:19.737Z
@stackerr The supernovae ejecta is unlikely to follow a trajectory determined only by gravitational forces. Of course we owe our existence to the fact that supernova ejecta does *not*, under most circumstances, escape from the Galaxy. It plows into the ISM and slows down. I guess you were not meant to consider this (but that just makes it a poor question).
ProfRob
CC BY-SA 3.0
2015-07-10T12:38:49.467Z
@RobJeffries But those are always the assumptions when talking about escape velocities, or stars being totally disrupted, etc.: that there are no other interactions involved.  Would you expect a first course in Newtonian mechanics, when covering Earth's escape velocity, to account for the potential collisions with space junk, micro-meteorites, gravitational interactions with nearby comets/asteroids, etc.?  They might offhandedly mention that some or all of these things are important to a real space mission, but it's not going to appear on a homework problem.  You keep it simple.
zibadawa timmy
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2015-07-10T13:10:26.817Z
@zibadawatimmy All the above things you mention are negligible, unimportant or incredibly unlikely. It is a fact (and a very important one at that) that supernovae ejecta does not in general escape from the Galaxy. Think up a better question (e.g. start with a 3-body system, leave behind a more compact binary, work out the KE of the ejected object/star and see whether it would escape the Galaxy).
ProfRob
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2015-07-10T13:15:00.493Z
@RobJeffries That's a better question for a graduate student but not for an undergrad in an introductory course.  And I assume we are in the latter situation, not the former.  One might hope the course at some point makes the fairly obvious observation that supernovae ejecta seem to routinely stay within the galaxy, using that to motivate discussion and material beyond the bare minimum introductory stuff.  But for an introduction it seems entirely reasonable to not get bogged down with the complications of a more realistic scenario.
zibadawa timmy
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2015-07-10T13:52:53.367Z
@zibadawatimmy It's a first-year mechanics question. e.g. Consider three stars of a solar mass. Two are in a close, circular binary system with a separation of 0.1 au. The third orbits the binary system at a separation of 100 au. The system undergoes some interaction/reconfiguration, with the result that the close binary separation is reduced to 0.001au and the third star escapes. Compare its velocity to the speed of the Sun around the Galaxy and discuss its likely fate.
ProfRob
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2015-07-10T14:19:24.437Z
@RobJeffries For some reason my mind thought there was something making it more complicated than that in what you said.  I'm not exactly sure what, as it's clearly not there, but I put something there.  So, yeah, that's a reasonable question that avoids the ejecta/ISM style of problem.
zibadawa timmy
CC BY-SA 3.0
2015-07-11T19:42:40.897Z
@RobJeffries Thanks for your insight! This is a Intro to Astronomy course so we weren't asked to consider this. And even if we were, it would have been trivial to solve assuming that the scenario was simplified.
stackErr
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2015-07-10T02:27:38.920Z
2015-07-10T02:27:38.920Z
Logan R. Kearsley
<p>This is a homework question and I don't want an answer but just want to understand what its asking for.</p>

<p>We are given that a star with a mass of <code>x solar masses</code> in our galaxy turns to a supernova and releases <code>y</code> amount of energy. Using this we are asked to calculate the average speed of the ejected mass. </p>

<p><code>v = sqrt(2*E_k/M)</code> (Kinetic energy equation) gives the average speed.</p>

<p>Finally, the questions asks the following:</p>

<blockquote>
  <p>Compare  your  result with our Sun’s orbital speed around the centre of the Milky Way galaxy. Where would you expect this material to end up?</p>
</blockquote>

<p>Is it asking to solve and check that the average speed > escape velocity if the star was at the same distance from the sun? Or how far from the center of the Galaxy would it end up?</p>

<velocity>
Suns Orbital speed and escape velocity question
stackErr
# Suns Orbital speed and escape velocity question

(Asked by: username_0 on 2015-07-10)

This is a homework question and I don't want an answer but just want to understand what its asking for.

We are given that a star with a mass of `x solar masses` in our galaxy turns to a supernova and releases `y` amount of energy. Using this we are asked to calculate the average speed of the ejected mass.

`v = sqrt(2*E_k/M)` (Kinetic energy equation) gives the average speed.

Finally, the questions asks the following:

> Compare your result with our Sun’s orbital speed around the centre of the Milky Way galaxy. Where would you expect this material to end up?

Is it asking to solve and check that the average speed > escape velocity if the star was at the same distance from the sun? Or how far from the center of the Galaxy would it end up?

**Tags:** velocity

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## 1 answers

### Answer by username_1 on 2015-07-10. Score: 1 | Accepted answer

It's asking exactly what it says- *where* would you expect this material to end up? Giving a distance from the center of the galaxy may be relevant, or it may not, depending on exactly what speed you end up with, and how it compares to galactic orbital / escape velocity. If the velocity is well above galactic escape velocity, giving a specific distance from the galactic core doesn't make much sense- there will be no fixed distance, the stuff will just keep going, achieving greater and greater distances.

So, the first step is indeed to solve and check if average speed > orbital velocity or not (because the question says to do so), and a good second step would indeed be to check if it's less or greater than escape velocity. And from that information, you can guess generally where the stuff will go- stay reasonably close to the original orbit of the star? or stay in galactic orbit, but spread out in some wildly different range of orbits than what the original star had? or completely ejected from the galaxy?

> **Comments:**
> **username_0**: Thank you! The actual answer is well above the galactic escape velocity so I don't think we need to do the calculations for distance  
> **username_2**: @stackerr The supernovae ejecta is unlikely to follow a trajectory determined only by gravitational forces. Of course we owe our existence to the fact that supernova ejecta does *not*, under most circumstances, escape from the Galaxy. It plows into the ISM and slows down. I guess you were not meant to consider this (but that just makes it a poor question).  
> **username_3**: @RobJeffries But those are always the assumptions when talking about escape velocities, or stars being totally disrupted, etc.: that there are no other interactions involved.  Would you expect a first course in Newtonian mechanics, when covering Earth's escape velocity, to account for the potential collisions with space junk, micro-meteorites, gravitational interactions with nearby comets/asteroids, etc.?  They might offhandedly mention that some or all of these things are important to a real space mission, but it's not going to appear on a homework problem.  You keep it simple.  
> **username_2**: @zibadawatimmy All the above things you mention are negligible, unimportant or incredibly unlikely. It is a fact (and a very important one at that) that supernovae ejecta does not in general escape from the Galaxy. Think up a better question (e.g. start with a 3-body system, leave behind a more compact binary, work out the KE of the ejected object/star and see whether it would escape the Galaxy).  
> **username_3**: @RobJeffries That's a better question for a graduate student but not for an undergrad in an introductory course.  And I assume we are in the latter situation, not the former.  One might hope the course at some point makes the fairly obvious observation that supernovae ejecta seem to routinely stay within the galaxy, using that to motivate discussion and material beyond the bare minimum introductory stuff.  But for an introduction it seems entirely reasonable to not get bogged down with the complications of a more realistic scenario.  
> **username_2**: @zibadawatimmy It's a first-year mechanics question. e.g. Consider three stars of a solar mass. Two are in a close, circular binary system with a separation of 0.1 au. The third orbits the binary system at a separation of 100 au. The system undergoes some interaction/reconfiguration, with the result that the close binary separation is reduced to 0.001au and the third star escapes. Compare its velocity to the speed of the Sun around the Galaxy and discuss its likely fate.  
> **username_3**: @RobJeffries For some reason my mind thought there was something making it more complicated than that in what you said.  I'm not exactly sure what, as it's clearly not there, but I put something there.  So, yeah, that's a reasonable question that avoids the ejecta/ISM style of problem.  
> **username_0**: @RobJeffries Thanks for your insight! This is a Intro to Astronomy course so we weren't asked to consider this. And even if we were, it would have been trivial to solve assuming that the scenario was simplified.  

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