In a nuclear scattering experiment, a beam of4-MeV alpha particles (helium nuclei) strikes atarget consisting of helium gas, so that thefalling particle and the target particle have equalmasses. If the incident alpha particle isdispersed at an angle of in 30° the laboratorysystem, find its kinetic energy and the kineticenergy of the target particle's recoil, as part ofthe initial kinetic energy of the incident alphaparticle. (Assume the target particle is at rest.and the collision is elasticP2in which o = 30°+9 = 90°pi p, =0P = Pi cos , + p2 sin o0 = p{ sino - p2 cosPi = P1 cos =p, cos 30° =-2P2 = P1 sing = P; sin 30° =.12PiT =2m,1 PiT=1 MeV2m,Pi-=T= 3 MeV2m,T =2m2%3D4.LaboratorysystemH.W. What is the scattering angle with respect tothe center of mass system of the previousexample (in a nuclear scattering experiment, abeam of alpha-4-MeV particles hits ...)? (Heliumnuclei) is a target consisting of helium$(... gas

The velocity of the center of mass is defined as, vcm=m1u1'+m2u2'm1+m2 where m1 and m2is the mass of…

Answered: In a nuclear scattering experiment, a…

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