Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 11 - Impulse and Momentum - Exercises and Problems: 18

Answer

The bird's speed just after swallowing the insect is 4.8 m/s

Work Step by Step

We can use conservation of momentum to find the final speed $v_f$ of the bird. Let $m_b$ be the mass of the bird. Let $m_i$ be the mass of the insect. Let's consider the system of the bird and the insect: $p_f = p_0$ $(m_b+m_i)~v_f = m_b~(6.0~m/s)+m_i~(-30~m/s)$ $v_f = \frac{m_b~(6.0~m/s)+m_i~(-30~m/s)}{m_b+m_i}$ $v_f = \frac{(0.30~kg)(6.0~m/s)+(0.010~kg)(-30~m/s)}{0.30~kg+0.010~kg}$ $v_f = 4.8~m/s$ The bird's speed just after swallowing the insect is 4.8 m/s.
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