Answer:
12.5 m/s
Explanation:
By conservation of momentum, we have that:
[tex]\displaystyle m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'[/tex]
Because the two objects combine after collision, they will have the same velocity:
[tex]\displaystyle m_1v_1 + m_2v_2 = (m_1+m_2)v_f[/tex]
Substitute and solve for final velocity:
[tex]\displaystyle \begin{aligned} (50 \text{ kg})(15\text{ m/s}) + (50\text{ kg})(10\text{ m/s}) & = ((50+50)\text{ kg})v_f \\ \\ v_f & = 12.5\text{ m/s}\end{aligned}[/tex]
In conclusion, the final velocity of the system will be 12.5 m/s.
