TeX source:
v_{2}^{\prime}=\frac{m_{1}}{m_{2}}\left(v_{1}-v_{1}^{\prime}\right)=\frac{0.500 \mathrm{~kg}}{3.50 \mathrm{~kg}}[4.00-(-3.00)] \mathrm{m} / \mathrm{s}