a. List variables
[tex]\begin{gathered} m_{1i}=\text{ 0.16 kg} \\ v_{1i}=\text{ 8 m/s} \\ m_{2i}=\text{ 0.16 kg} \\ v_{2i}=\text{ 0 m/s} \\ m_{1f}=\text{0.16kg} \\ v_{1f}\text{ = 0 m/s} \\ m_{2f}\text{ = 0.16 kg} \\ v_{2f}\text{ =?} \end{gathered}[/tex]
b. Plug into the equation
[tex]\begin{gathered} m_{1i}v_{1i}+m_{2i}v_{2i}\text{ = m}_{1f}v_{1f}+m_{2f}v_{2f} \\ 0.16\times8+0.16\times0=0.16\times0+0.16\times v_{2f} \end{gathered}[/tex]
C. solve for unknown
[tex]\begin{gathered} v_{2f}=\frac{0.16\times8}{0.16} \\ =\text{ 8 m/s} \end{gathered}[/tex]
