Question

A 1.45 kg falcon catches a 0.515 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 26.5 m/s and the dove's velocity is 4.95 m/s in the same direction?

Answer 1

Their velocity after the impact is 20.85 m/s.

Step-by-step explanation:

Given that,

Mass of falcon,
`m_1=1.45\ kg`

Mass of dove,
`m_2=0.515\ kg`

Initial speed of the falcon,
`u_1=26.5\ m/s`

Initial speed of the dove,
`u_2=4.95\ m/s`

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 :

`m_1u_1+m_2u_2=(m_1+m_2)V\\\\V=(m_1u_1+m_2u_2)/((m_1+m_2))\\\\V=(1.45* 26.5+0.515* 4.95)/((1.45+0.515))\\\\V=20.85\ m/s`

So, their velocity after the impact is 20.85 m/s.