Answer:
Their velocity after the impact is 20.85 m/s.
Explanation:
Given that,
Mass of falcon, [tex]m_1=1.45\ kg[/tex]
Mass of dove, [tex]m_2=0.515\ kg[/tex]
Initial speed of the falcon, [tex]u_1=26.5\ m/s[/tex]
Initial speed of the dove, [tex]u_2=4.95\ m/s[/tex]
We need to find the final velocity after the impact. When the falcon catches the dove, it will becomes the case of inelastic collision. The conservation of momentum will be :
[tex]m_1u_1+m_2u_2=(m_1+m_2)V\\\\V=\dfrac{m_1u_1+m_2u_2}{(m_1+m_2)}\\\\V=\dfrac{1.45\times 26.5+0.515\times 4.95}{(1.45+0.515)}\\\\V=20.85\ m/s[/tex]
So, their velocity after the impact is 20.85 m/s.
