Answer:
V = 7 m/s
Explanation:
Given that,
Mass 1, m₁ = 4 kg
Speed of the object 1, v₁ = 8 m/s
Mass 2, m₂ = 2 kg
Speed of object 2, v₂ = 5 m/s
After the collision, both objects stick together. Let V be the common velocity. Using the conservation of linear momentum to find it.
[tex]m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{m_1+m_2}\\\\V=\dfrac{4(8)+2(5)}{4+2}\\\\V=7\ m/s[/tex]
So, the velocity of two cars is 7 m/s.