Explanation Given data: Mass of the projectile ( m P ) is 0.20 kg. Mass of the stationary target ( m T ) is 2.50 kg. Formula used: Refer to the equation (6.2) in the textbook, and write the expression for kinetic energy of the particle as follows. KE = 1 2 m v 2 (1) Here, m is the mass of the particle, and v is the velocity of the particle. Consider the kinetic energy of the target with the projectile in it as ( KE ) TP , and kinetic energy of the incident projectile as ( KE ) 0P . Write the expression for the required percentage as follows. Percentage = ( KE ) TP ( KE ) 0P × 100 % (2) Modify the expression in equation (1) for the kinetic energy of the target with the projectile in it as follows. ( KE ) TP = 1 2 m T ( v f ) 2 + 1 2 m P ( v f ) 2 (3) Here, v f is the speed at which the target with the projectile in it flies off after being struck. Modify the expression in equation (1) for the kinetic energy of the incident projectile as follows. ( KE ) 0P = 1 2 m P [ ( v 0 ) P ] 2 (4) Here, ( v 0 ) P is the speed of incident projectile. The external forces are absent in the given system. Therefore, the total liner momentum is conserved for the given system. Refer to the equation (7.9a) in the textbook, and modify the expression for the conservation of linear momentum for the given system as follows. m P ( v 0 ) P + m T ( v 0 ) T = ( m P + m T ) ( v f ) (5) Here, ( v 0 ) T is the initial speed of the stationary target, which is 0 m s , since the target is at rest. Substitute 0 m s for ( v 0 ) T in equation (5), m P ( v 0 ) P + m T ( 0 m s ) = ( m P + m T ) ( v f ) m P ( v 0 ) P = ( m P + m T ) ( v f )

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ISBN: 9781119326342

Author: CUTNELL

Publisher: WILEY

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Chapter 7, Problem 35P

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To find: The percentage that the projectile’s incident kinetic energy does the target fly off after being struck.

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Chapter 7 Solutions

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Ch. 7.1 - 1. Two identical automobiles have the same speed,...Ch. 7.1 - 2. In Times Square in New York City, people...Ch. 7.1 - 3. Two objects have the same momentum. Do the...Ch. 7.1 - 4. (a) Can a single object have a kinetic energy...Ch. 7.1 - Prob. 5CYU Ch. 7.1 - Prob. 6CYU Ch. 7.2 - Prob. 7CYU Ch. 7.2 - Prob. 8CYU Ch. 7.2 - Prob. 9CYU Ch. 7.2 - Prob. 10CYU

Ch. 7.2 - Prob. 11CYU Ch. 7.2 - Prob. 12CYU Ch. 7.2 - Prob. 13CYU Ch. 7.2 - Prob. 14CYU Ch. 7.3 - Prob. 15CYU Ch. 7.3 - Prob. 16CYU Ch. 7.3 - Prob. 17CYU Ch. 7.5 - Prob. 18CYU Ch. 7.5 - Prob. 19CYU Ch. 7.5 - Prob. 20CYU Ch. 7 - Prob. 1FC Ch. 7 - 2. Six runners have the mass (in multiples of m0),...Ch. 7 - Prob. 6FC Ch. 7 - Prob. 7FC Ch. 7 - Prob. 10FC Ch. 7 - Prob. 13FC Ch. 7 - Prob. 15FC Ch. 7 - Prob. 17FC Ch. 7 - Prob. 1P Ch. 7 - Prob. 2P Ch. 7 - Prob. 3P Ch. 7 - Prob. 4P Ch. 7 - Prob. 5P Ch. 7 - Prob. 6P Ch. 7 - 7. Refer to Conceptual Example 3 as an aid in...Ch. 7 - Prob. 8P Ch. 7 - Prob. 9P Ch. 7 - Prob. 10P Ch. 7 - Prob. 11P Ch. 7 - Prob. 12P Ch. 7 - 13. An 85-kg jogger is heading due east at a speed...Ch. 7 - Prob. 14P Ch. 7 - Prob. 15P Ch. 7 - Prob. 16P Ch. 7 - Prob. 17P Ch. 7 - Prob. 18P Ch. 7 - Prob. 19P Ch. 7 - Prob. 20P Ch. 7 - Prob. 21P Ch. 7 - Prob. 22P Ch. 7 - Prob. 23P Ch. 7 - 24. A 0.015-kg bullet is fired straight up at a...Ch. 7 - Prob. 25P Ch. 7 - Prob. 26P Ch. 7 - 28. After sliding down a snow-covered hill on an...Ch. 7 - Prob. 29P Ch. 7 - Prob. 30P Ch. 7 - 31. Batman (mass = 91 kg) jumps straight down from...Ch. 7 - Prob. 32P Ch. 7 - 33. A 5.00-kg ball, moving to the right at a...Ch. 7 - Prob. 34P Ch. 7 - Prob. 35P Ch. 7 - Prob. 36P Ch. 7 - Prob. 37P Ch. 7 - Prob. 38P Ch. 7 - *39. A girl is skipping stones across a lake. One...Ch. 7 - Prob. 40P Ch. 7 - Prob. 41P Ch. 7 - Prob. 42P Ch. 7 - *43. An electron collides elastically with a...Ch. 7 - Prob. 44P Ch. 7 - Prob. 45P Ch. 7 - Prob. 48P Ch. 7 - Prob. 50P Ch. 7 - Prob. 51P Ch. 7 - Prob. 52P Ch. 7 - Prob. 54AP Ch. 7 - Prob. 56AP Ch. 7 - Prob. 58AP Ch. 7 - Prob. 60AP Ch. 7 - *63. Two ice skaters have masses m1 and m2 and are...Ch. 7 - Prob. 64AP Ch. 7 - Prob. 66AP Ch. 7 - Prob. 67CCP Ch. 7 - Prob. 68CCP Ch. 7 - Prob. 69TP Ch. 7 - Prob. 70TP

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