In a nuclear scattering experiment, a beam of 4-MeV alpha particles (helium nuclei) strikes a target consisting of helium gas, so that the falling particle and the target particle have equal masses. If the incident alpha particle is dispersed at an angle of in 30° the laboratory system, find its kinetic energy and the kinetic energy of the target particle's recoil, as part of the initial kinetic energy of the incident alpha particle. (Assume the target particle is at rest .and the collision is elastic in which =30° O +0 = 90° pi -p, = 0 P1 = Pí cos , + p½ sino 0 = p{ sin – P2 cos pi = P1 cos = P, cos 30° = P1 2 P2 = P1 sing = P1 sin 30° = P1 %3D Pi =!7 2m, Pi T =- 2m, 3 Pi -?T=3 MeV T = 2m2 T =1 MeV %3D 4. Laboratory system 2m, H.W. What is the scattering angle with respect to the center of mass system of the previous example (in a nuclear scattering experiment, a beam of alpha-4-MeV particles hits..)? (Helium nuclei) is a target consisting of helium $(... gas

In a nuclear scattering experiment, a beam of 4-MeV alpha particles (helium nuclei) strikes a target consisting of helium gas, so that the falling particle and the target particle have equal masses. If the incident alpha particle is dispersed at an angle of in 30° the laboratory system, find its kinetic energy and the kinetic energy of the target particle's recoil, as part of the initial kinetic energy of the incident alpha particle. (Assume the target particle is at rest .and the collision is elastic in which =30° O +0 = 90° pi -p, = 0 P1 = Pí cos , + p½ sino 0 = p{ sin – P2 cos pi = P1 cos = P, cos 30° = P1 2 P2 = P1 sing = P1 sin 30° = P1 %3D Pi =!7 2m, Pi T =- 2m, 3 Pi -?T=3 MeV T = 2m2 T =1 MeV %3D 4. Laboratory system 2m, H.W. What is the scattering angle with respect to the center of mass system of the previous example (in a nuclear scattering experiment, a beam of alpha-4-MeV particles hits..)? (Helium nuclei) is a target consisting of helium $(... gas