Fall '99

Midterm 1 -Problem 2

Conservation of energy

eq1  =  Ek  ==  epi1  +  epi2

Conservation of momentum:

eq2  =  pk  ==  ppi1  +  ppi2 /. pk -> 5000.

Constituent equations:

Ek  =  
      Sqrt[pk^2  +  mk^2] /. {pk -> 5000. , 
          mk -> 498. }

epi1  =  Sqrt[ppi1^2 + mpi^2] /. mpi -> 139.

epi2  =  Sqrt[ppi2^2 + mpi^2] /. mpi -> 139.

eq1a  =  eq1

Solve[{eq1a, eq2}, {ppi1, ppi2}]