- #1
sadhu
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we know that during inelastic collision momentum remain conserved but kinetic energy of system does not
some part of K.E in converted to other forms like light ,sound ,internal energy etc.
let us consider two subatomic particles undergoing one dimensional inelastic collision(just as case)
in this collision light is emitted to the surrounding.
looking at the collision in Newtonian way equations run like this
P1+P2=p1+p2 P-initial momentum p-final momentum (law of conservation of momentum)
initial K.E=final K.E+light energy....law of conservation of energy.
but when i look at the collision in einstienian way i will assign some momentum to light
as light is just a stream of photons
momentum of photon is =energy/c
thus rewriting the equations i will write
P1+P2=p1+p1+{momentum of photons}
but this destroys our concept inelastic collisions.
therefore to preserve the concept i figured that momentum of photons must cancel each other
this is possible if identical photons(equal energy) are emitted in opp directions.
but we see that this case can be generallised to all inelastic collisions ,where energy is emitted to surrounding(dissipation takes place)
like in sound,as energy can be transfred to the surrounding only by the interaction of the system with the surrounding.but this destroys conservation of momentun of the system in this cases.
in order to explain it we need to assume that energy is given out in equal amount in opposite directions(symmetrically)( like sound wave spreading in spherical shell form.)
as this cancels out all the forces acting on system during dissipation of energy and conserves momentum of system in Newtonian way.
but the correctness of my arguments and deduction is doubtfull
any views or corrections will be appreciated.......thank you.
some part of K.E in converted to other forms like light ,sound ,internal energy etc.
let us consider two subatomic particles undergoing one dimensional inelastic collision(just as case)
in this collision light is emitted to the surrounding.
looking at the collision in Newtonian way equations run like this
P1+P2=p1+p2 P-initial momentum p-final momentum (law of conservation of momentum)
initial K.E=final K.E+light energy....law of conservation of energy.
but when i look at the collision in einstienian way i will assign some momentum to light
as light is just a stream of photons
momentum of photon is =energy/c
thus rewriting the equations i will write
P1+P2=p1+p1+{momentum of photons}
but this destroys our concept inelastic collisions.
therefore to preserve the concept i figured that momentum of photons must cancel each other
this is possible if identical photons(equal energy) are emitted in opp directions.
but we see that this case can be generallised to all inelastic collisions ,where energy is emitted to surrounding(dissipation takes place)
like in sound,as energy can be transfred to the surrounding only by the interaction of the system with the surrounding.but this destroys conservation of momentun of the system in this cases.
in order to explain it we need to assume that energy is given out in equal amount in opposite directions(symmetrically)( like sound wave spreading in spherical shell form.)
as this cancels out all the forces acting on system during dissipation of energy and conserves momentum of system in Newtonian way.
but the correctness of my arguments and deduction is doubtfull
any views or corrections will be appreciated.......thank you.
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