An alpha particle with kinetic energy 7.70 MeV collides with an `""^(14)N` nucleus at rest, and the two transform into an `""^(17)O` nucleus and a proton. The proton is emitted at `90^(@)` to the direction of the incident alpha particle and has a kinetic energy of 4.44 MeV. The masses of the various particles are alpha particle, 4.002 60u, `""^(14)N,` 14.003 07 u, proton, 1.007 875 u, and `""^(17)O`, 16.999 14 u. In MeV, what are (a) the kinetic energy of the oxygen nucleus and (b) the Q of the reaction? (Hint: The speeds of the particles are much less than c.)

Answer

`(a) ~~2.08MeV; (b) 2.05MeV`