There should not be any extra energy than was present in the high velocity gas and other cloud before the impact. The energy after the collision is distributed differently since the large volume of gas would likely be heated by the collision. Any additional heat energy that is passed to the large volume of gas is extracted from the high velocity stream. Of course there may be other places that energy can be deposited after the collision, but the total before and after should be the same. Consider that the high velocity incoming gas has a significant quantity of kinetic energy due to its motion. Once it has collided, it slows down as it becomes a portion of the larger gas cloud. That is the source of the extra energy you are seeking.
I suppose that what I am discussing is the standard answer, but it is the way I understand the physics. So far, I have never been able to prove that it is in error. I have studied many cases and they all match the theory. Dave -----Original Message----- From: a.ashfield <a.ashfi...@verizon.net> To: vortex-l <vortex-l@eskimo.com> Sent: Sat, Feb 8, 2014 7:16 pm Subject: Re: [Vo]:Linear and Angular Momentum David Roberson Sat, 08 Feb 2014 13:32:56 -0800 "If you look into this scenario in detail, you will see how the total angular and linear momentum is conserved separately. The high velocity gas impacts the large volume of gas and sends the total mass at an average slower velocity in the direction that the input stream is moving. The total momentum of the system would be conserved as always." I have trouble with that standard answer. I don't see how the large volume of gas ends up with the same momentum if part of the energy has been inevitably converted into heat. Where does the extra energy come from?