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

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?

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Hồng Cúc 4 years 2021-07-30T13:03:04+00:00 1 Answers 25 views 0

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  1. Nick
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    2021-07-30T13:04:36+00:00
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    Answer:

    Their velocity after the impact is 20.85 m/s.                            

    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=\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

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

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