Answer:
[tex]v=-0.667\,\frac{m}{s}[/tex]
Explanation:
The physical model of a inelastic collision is modelled after the Principle of Momentum Conservation, that is:
[tex]m_{A} \cdot v_{A} + m_{B} \cdot v_{B} = (m_{A} + m_{B}) \cdot v[/tex]
The final velocity of the system is:
[tex]v = \frac{m_{A}\cdot v_{A} + m_{B}\cdot v_{B}}{m_{A}+m_{B}}[/tex]
[tex]v=\frac{(2\,kg)\cdot(3\,\frac{m}{s})+(1\,kg)\cdot(-8\,\frac{m}{s})}{2\,kg+1\,kg}[/tex]
[tex]v=-0.667\,\frac{m}{s}[/tex]
