A 1.55 kg falcon catches a 0.415 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 27.5 m/s and the dove's velocity is 5.35 m/s in the same direction?

Question

Physics

Colin Hunt

5 May, 08:23

A 1.55 kg falcon catches a 0.415 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 27.5 m/s and the dove's velocity is 5.35 m/s in the same direction?

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Answers (1)

Know the Answer?

Darius Hansen · Answer 1

The answer to your question is 22.92 m/s

Explanation:

Data

Mass 1 = m1 = 1.55 kg

Mass 2 = m2 = 0.415 kg

Speed 1 = v1 = 27.5 m/s

Speed 2 = v2 = 5.35 m/s

Speed 3 = v3 = ?

Formula

m1v1 + m2v2 = (m1 + m2) v3

- Solve for v3

v3 = [m1v1 + m2v2] / (m1 + m2)

- Substitution

v3 = [ (1.55 x 27.5) + (0.415 x 5.35) ] / (1.55 + 0.415)

- Simplification

v3 = [ 42.63 + 2.22] / 1.965

v3 = 44.85 / 1.965

- Result

v3 = 22.92 m/s