Answer:[tex]v=-\frac{11}{3} m/s \left[/tex]
Explanation:
Given
Mass of car A[tex]\left ( m_a\right )=1 kg[/tex]
Mass of car B[tex]\left ( m_b\right )=2 kg[/tex]
velocity of cart A=3 m/s
velocity of cart B=-7 m/s
Conserving momentum
[tex]m_au_a+m_bu_b=\left ( m_a+m_b\right )v[/tex]
[tex]v=\frac{m_au_a+m_bu_b}{\left ( m_a+m_b\right )}[/tex]
[tex]v=-\frac{11}{3} m/s \left ( i.e. in\ left\right )[/tex]
