3. The conservation laws of (classical kinetic) energy and (linear) momentum determine the outcome of thecollision. The results are given in Chapter 10, Eqs. 10-30 and 10-31. The Fnal speed of theαparticle isvαf=mα−mAumα+mAuvαi,and that of the recoiling gold nucleus isvAu,f=2mαmα+mAuvαi.(a) Therefore, the kinetic energy of the recoiling nucleus isKAu,f=12mAuv2Au,f=12mAuµ2mαmα+mAu¶2v2αi=Kαi4mAumα(mα+mAu)2=(5.00 MeV)4(197 u)(4
This is the end of the preview. Sign up
access the rest of the document.