Explanation Given data: Mass of the bird ( m B ) is 300 g, which is written as 0.3 Kg. Mass of the insect ( m I ) is 10 g, which is written as 0.01 Kg. Initial speed (velocity) of the bird ( v B x ) i is 6 m s . Initial speed of the insect ( v I x ) i is ( − 30 m s ) , the negative sign is due to the direction of movement of the insect (the insect moves in opposite direction to the movement of the bird). Formula used: Write the expression for momentum of conservation for the system of two particles when they stick together after the collision. m 1 v 1 i + m 2 v 2 i = ( m 1 + m 2 ) v f (1) Here, m 1 is the mass of the first particle, m 2 is the mass of the second particle, v 1 i is the initial velocity of the first particle, v 2 i is the initial velocity of the second particle, and v f is the final velocity of the two particles (two particles stick together after the collision). Explanation: Consider the bird and the insect as a system. There are no external forces on the system when the bird swallows the insect. The bird and insect are stick together when the bird swallows the insect. Therefore, the horizontal momentum is conserved for the given system. Modify the expression in equation (1) for the given system as follows. m B ( v B x ) i + m I ( v I x ) i = ( m B + m I ) ( v BI x ) f (2) Here, ( v BI x ) f is the final velocity of the bird immediately after it swallows the insect. Rearrange the expression in equation (2) to find the final speed of the bird immediately after it swallows the insect as follows

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 9, Problem 27P

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To find: The speed of the bird immediately after it swallows an insect.

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Chapter 9, Problem 26P

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Chapter 9 Solutions

College Physics: A Strategic Approach (4th Edition)

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Chapter 9 Solutions