Question
Asked Oct 16, 2019
A 1.85-kg falcon catches a 0.535-kg dove from behind in midair. What is their velocity after impact if the
falcon's velocity is initially 28.5 m/s and the dove's velocity is 6.95 m/s in the same direction?
Number
m/s
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A 1.85-kg falcon catches a 0.535-kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 28.5 m/s and the dove's velocity is 6.95 m/s in the same direction? Number m/s

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Expert Answer

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Step 1

Given,

т, 3 1.85 kg
т, 3D 0.535 kg
28.5 m/s
2 6.95 m/s
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т, 3 1.85 kg т, 3D 0.535 kg 28.5 m/s 2 6.95 m/s

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Step 2

Since the net external force is zero, conservation of linear momentum leads us to the following expression where v is the final velocity after the impact and v1 and v2 are the initial velocities of falcon and dove:

Р — Р,
т,у, + т,v, %3 (т, + т,)r
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Р — Р, т,у, + т,v, %3 (т, + т,)r

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Step 3

Plugging the given values int...

(1.85 kg)(28.5 m/s)+ (0.535 kg)(6.95 m/s) (1.85 kg 0.535 kg )v
56.44325 m/s (2.385)v
v 23.665 m/s
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(1.85 kg)(28.5 m/s)+ (0.535 kg)(6.95 m/s) (1.85 kg 0.535 kg )v 56.44325 m/s (2.385)v v 23.665 m/s

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