A 1.75 kg falcon catches a 0.255 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is nitially 28.5 m/s and the dove's velocity is 5.95 m/s in the same direction? velocity:
A 1.75 kg falcon catches a 0.255 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is nitially 28.5 m/s and the dove's velocity is 5.95 m/s in the same direction? velocity:
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Question:**
A 1.75 kg falcon catches a 0.255 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 5.95 m/s in the same direction?
**Solution:**
To find the velocity after impact, use the principle of conservation of momentum.
**Momentum before impact:**
- Falcon: \( m_1 \cdot v_1 = 1.75 \, \text{kg} \times 28.5 \, \text{m/s} \)
- Dove: \( m_2 \cdot v_2 = 0.255 \, \text{kg} \times 5.95 \, \text{m/s} \)
**Total momentum before impact:**
\[
(m_1 \cdot v_1) + (m_2 \cdot v_2)
\]
**Momentum after impact:**
- Combined mass after collision: \( m_1 + m_2 = (1.75 + 0.255) \, \text{kg} \)
The velocity \( v \) after impact is:
\[
v = \frac{(m_1 \cdot v_1) + (m_2 \cdot v_2)}{m_1 + m_2}
\]
Fill in the answer in the space provided:
**Velocity:** ______ m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9081bc6b-9817-477c-9b8d-7c2dcc8c93d8%2F5b1df8e7-ae41-4bd7-abbc-dbdd005344b3%2F69vacn8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
A 1.75 kg falcon catches a 0.255 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 5.95 m/s in the same direction?
**Solution:**
To find the velocity after impact, use the principle of conservation of momentum.
**Momentum before impact:**
- Falcon: \( m_1 \cdot v_1 = 1.75 \, \text{kg} \times 28.5 \, \text{m/s} \)
- Dove: \( m_2 \cdot v_2 = 0.255 \, \text{kg} \times 5.95 \, \text{m/s} \)
**Total momentum before impact:**
\[
(m_1 \cdot v_1) + (m_2 \cdot v_2)
\]
**Momentum after impact:**
- Combined mass after collision: \( m_1 + m_2 = (1.75 + 0.255) \, \text{kg} \)
The velocity \( v \) after impact is:
\[
v = \frac{(m_1 \cdot v_1) + (m_2 \cdot v_2)}{m_1 + m_2}
\]
Fill in the answer in the space provided:
**Velocity:** ______ m/s
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