1. The problem statement, all variables and given/known data A neutron in a nuclear reactor makes an elastic head-on collision with the nucleus of a carbon atom initially at rest. (a) What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12 times the mass of the neutron.) 2. Relevant equations Conservation of momentum: M1V1i+M2V2i=M1V1f+M2V2F Conservation of Kinetic Energy: 1/2M1V1i^2+1/2M2V2i^2=1/2M1V1F^2+1/2M2V2F^2 3. The attempt at a solution Since V2i=0 M1V1i=M1V1F+M2V2F and 1/2M1V1i^2=1/2M1V1F^2+1/2M2V2F^2 <--- 3 unknowns V1i,V1F,V2F so i need 3 equations to solve for them. (1)(V1i)=(1)(V1F)+(12)(V2F) V2F=V1i-V1F/12 umm so i was wondering if im on the right track to solving this problem?