During an interaction between two objects in a system that experiences no external forces, the change in momentum of one object is equal in magnitude but opposite in direction to the change in momentum of the other object: $m_1\overrightarrow v_{i1} + m_2 \overrightarrow v_{i2} = m_1\overrightarrow v_{f1} + m_2 \overrightarrow v_{f2}$