I should point out that after the collision the balls won't be damaged if they weren't rigid in the first place.
It is also possible that after the balls stick together they do not vibrate or heat up. In this case in order for energy to be conserved, the combined mass would increase. The increase can be calculated by letting the total K.E. before the collision = mc^2. Based on this scenario one could imagine a process whereby one or more electrons become stuck to a proton. Such a proton-electron conglomerate would not necessarily be a neutron but it would provide plenty of screening for two protons to get close enough to under go fusion. Harry . On Tue, Feb 11, 2014 at 12:38 PM, David Roberson <[email protected]> wrote: > That is a good question Harry. I believe that under one circumstance all > of the energy can be converted into heat, but that is very specific. A > linear momentum case is an excellent one to use as the example. If an > observer happens to be located on a reference frame that is at rest > relative to the center of mass of the two ball closed system below, total > conversion can be observed. In that case, the two balls must collide > along their center axis and stick together. The final system would consist > of two energy damaged balls at rest. The initial kinetic energy determined > by the sum of the energy contained within each ball will be converted into > some other form. > > In that special case of total kinetic energy conversion, it should be > noted that the linear momentum is conserved as required and interestingly, > it remained zero. I am convinced now that this is a requirement if all of > the kinetic energy is to be released. A similar conclusion could be drawn > relative to angular energy and momentum. > > Dave > > > > -----Original Message----- > From: H Veeder <[email protected]> > To: vortex-l <[email protected]> > Sent: Tue, Feb 11, 2014 12:11 pm > Subject: Re: [Vo]:Energy and momentum / was RAR > > I think the rules imply it is true for both linear and angular momentum. > No amount of the total momentum of a system can be converted into heat. > However, some amount of the total energy of a system can be converted into > heat. > Is it possible to convert all of the energy into heat? > > Harry > > > On Mon, Feb 10, 2014 at 10:59 PM, David Roberson <[email protected]>wrote: > >> I do not see where we differ in understanding Bob. The system you >> describe had nearly zero total angular momentum before and after the >> collision so it remains conserved. The rotational energy can be extracted >> by various means as I also stated. >> >> Harry has concluded that angular momentum can not be converted into heat, >> which is always true. He also states that angular energy can be converted >> into other forms or energy including heat. Can you demonstrate a closed >> system where this is not the case? >> >> Dave >> >> >> >> -----Original Message----- >> From: Bob Cook <[email protected]> >> To: vortex-l <[email protected]> >> Sent: Mon, Feb 10, 2014 10:46 pm >> Subject: Re: [Vo]:Energy and momentum / was RAR >> >> Harry and Dave--Bob Cook here-- >> >> Keep in mind that the law is that angular momentum must be conserved. >> However systems with angular momentum can also have significant energy that >> can be changed to heat. >> >> Take two planets in the solar system with direction of rotation in >> opposite directions. One planet with a vector pointing to the North Star >> and other one with its vector pointing in a direction opposite to the North >> Star. They drift slowly together and eventually collide. If they have >> about equal mass and size and collide their total angular will approach >> zero. However there will be a lot of heat energy released. Angular >> momentum is a vector quantity--energy is a scalar with no direction >> attached. This holds for quantum systems with the Spin quantum angular >> momentum J associated with particles being a vector quantity. Electrons >> pair up to reduce their angular momentum to zero. Many quantum systems of >> particles tend to low spin states since low is consistent with the lowest >> energy state, and consistent with reactions that increase their >> entropy--the second law of thermodynamics. >> >> I think you two are forgetting the vector nature of angular momentum >> and mechanisms for its conservation. >> >> I do not agree with Harry's corollary. >> >> Bob >> >> >>
