physics modeling workshop project unit vii answers
or elastic collisions, the relative velocity reverses: v₁ - v₂ = -(v₁' - v₂'). Final results: \[ v_1' = \frac{(m_1 - m_2)v_1 + 2 m_2 v_2}{m_1 + m_2} \] \[ v_2' = \frac{(m_2 - m_1)v_2 + 2 m_1 v_1}{m_1 + m_2} \] Pedagogical Takeaway: Understanding the derivation emphasizes the importance of conserva