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28 June, 01:55

A 1.55 kg1.55 kg falcon catches a 0.435 kg0.435 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 26.5 m/s26.5 m/s and the dove's velocity is 4.95 m/s4.95 m/s in the same direction?

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  1. 28 June, 03:33
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    21.8 m/s

    Explanation:

    M = mass of falcon = 1.55 kg

    V = initial velocity of falcon before collision = 26.5 m/s

    m = mass of dove = 0.435 kg

    v = initial velocity of dove before collision = 4.95 m/s

    V' = velocity after impact

    Using conservation of linear momentum

    M V + m v = (M + m) V'

    Inserting the values

    (1.55) (26.5) + (0.435) (4.95) = (1.55 + 0.435) V'

    43.23 = 1.985 V'

    V' = 21.8 m/s
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