Consider elastic scattering between an incident 𝛼 particle and an electron in gold foil. The maximum scattering angle corresponds to the maximum momentum change for the particle, and this occurs when the 𝛼 particle hits the electron head-on. In this situation, show that the electron's velocity must be ve' ≈ 2v𝛼 in order to conserve energy and linear momentum.
Choose the appropriate equation or equations to begin this proof. (Select all that apply.)