edexcel-physics-A2 question

[Assi1993]

here's the question,
Protons are accelerated to an energy of 10Gev and the beam is made to collide head-on with a beam of anti-protons,also with an energy of 10GeV.How much energy is available from each collision to produce new particles?
Take the protons mass as 940MeV/c^2

waiting!!!.........

[Deadly_king]

here's the question,
Protons are accelerated to an energy of 10Gev and the beam is made to collide head-on with a beam of anti-protons,also with an energy of 10GeV.How much energy is available from each collision to produce new particles?
Take the protons mass as 940MeV/c^2

waiting!!!.........

DO you have the answers because am not sure ?

[Assi1993]

21.9GeV
i dont know how but :|

[Deadly_king]

21.9GeV
i dont know how but :|

Total energy of the particles initially are (10+10)= 20 GeV

Now we need to find the binding energy of the particles.

E = _^mc²

_^m : Mass defect

The mass defect will be [940MeV/c² - - 940MeV/c²] = 1880MeV/c² since both protons and anti-protons have same mass but are oppositely charged.

Therefore binding energy will be : E = 1880MeV/c² x c² = 1880MeV

So total energy available for products : 20GeV + 1880MeV = 21.9GeV

[Assi1993]

u knw what? ur da best!!!
may God bless u alwayyyz!! Ameen

[Deadly_king]

u knw what? ur da best!!!
may God bless u alwayyyz!! Ameen

Hehe..........am not the best.

You'll be comparable or even better than me on the eve of your exams.

Thank you 

Thumma Ameen