Explanation Given data: The distance between the man’s ears and the balloon releasing point at the window ( h ) is 10.0 m. Refer to the Table 16.1 for the Speed of the sound in the gases, liquids, and solids. From the table, the speed of the sound in the air at 20 ° C ( v s ) is 343 m s . Formula used: Consider the time required for the prankster’s warning to reach the ground as t . As the sound travels with the constant speed, write the expression for time taken by the sound of the warning to reach the ground as follows. t = h v s (1) Here, h is the distance between the man’s ears and the balloon releasing point at the window, and v s is the speed of the sound. As the balloon is dropped from the rest, refer to the equation (3.6b) in the textbook, and modify the expression for kinematic equation as follows. ( v y ) 2 = ( v 0 y ) 2 + 2 a y h (2) Here, v y is the final velocity of the balloon (when it is reached to the ground), v 0 y is the initial velocity of the balloon, which is 0 m s , since the balloon is dropped from the rest, and a y is the acceleration of the gravity due to the earth, which is 9.8 m s 2 . Calculation of time taken by the warning sound to reach the ground ( t ) : Substitute 10.0 m for h , and 343 m s for v s in equation (1), t = 10.0 m 343 m s = 0.02915 s ≃ 0 .0292 s Calculation of final velocity of the balloon ( v y ) : Rewrite the expression in equation (2) to find the final velocity of the balloon as follows. v y = ( v 0 y ) 2 + 2 a y h Substitute 0 m s for v 0 y , 9.8 m s 2 for a y , and 10.0 m for y , v y = ( 0 m s ) 2 + 2 ( 9.8 m s 2 ) ( 10.0 m ) = 0 ( m s ) 2 + 196 ( m s ) 2 = 14 m s Refer to the equation (3

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ISBN: 9781119081739

Author: CUTNELL

Publisher: WILEY

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Chapter 16, Problem 51P

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To find: The distance between the man’s ears and the point of the balloon at which the prankster shouts the warning.

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Chapter 16, Problem 50P

Chapter 16, Problem 52P

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Chapter 16 Solutions

EP PHYSICS (W/ANSWERS+INDEX)

Ch. 16.1 - Prob. 2CYU Ch. 16.2 - 3. A sound wave (a periodic longitudinal wave)...Ch. 16.3 - Prob. 4CYU Ch. 16.3 - Prob. 5CYU Ch. 16.3 - Prob. 6CYU Ch. 16.3 - Prob. 7CYU Ch. 16.3 - Prob. 8CYU Ch. 16.3 - Prob. 9CYU Ch. 16.5 - 10. In a traveling sound wave, are there any...Ch. 16.6 - 11. Do you expect an echo to return to you more...

Ch. 16.6 - 12. Carbon monoxide (CO), hydrogen (H2). and...Ch. 16.6 - Prob. 13CYU Ch. 16.7 - 14. Sonic animals rely on an acute sense of...Ch. 16.7 - Prob. 15CYU Ch. 16.8 - Prob. 16CYU Ch. 16.8 - Prob. 17CYU Ch. 16.9 - Prob. 18CYU Ch. 16.9 - 19. When a car is at rest, its horn emits a...Ch. 16.9 - Prob. 20CYU Ch. 16.9 - Prob. 21CYU Ch. 16.9 - Prob. 22CYU Ch. 16 - Prob. 2FC Ch. 16 - Prob. 3FC Ch. 16 - Prob. 6FC Ch. 16 - Prob. 7FC Ch. 16 - Prob. 10FC Ch. 16 - 11. As the amplitude of a sound wave in air...Ch. 16 - Prob. 12FC Ch. 16 - Prob. 13FC Ch. 16 - Prob. 15FC Ch. 16 - Prob. 17FC Ch. 16 - Prob. 18FC Ch. 16 - Prob. 19FC Ch. 16 - Prob. 1P Ch. 16 - Prob. 2P Ch. 16 - Prob. 3P Ch. 16 - Prob. 4P Ch. 16 - Prob. 5P Ch. 16 - Prob. 6P Ch. 16 - Prob. 7P Ch. 16 - Prob. 8P Ch. 16 - Prob. 9P Ch. 16 - Prob. 10P Ch. 16 - Prob. 11P Ch. 16 - Prob. 12P Ch. 16 - Prob. 13P Ch. 16 - Prob. 14P Ch. 16 - Prob. 15P Ch. 16 - Prob. 16P Ch. 16 - Prob. 17P Ch. 16 - Prob. 18P Ch. 16 - Prob. 19P Ch. 16 - Prob. 20P Ch. 16 - Prob. 21P Ch. 16 - Prob. 22P Ch. 16 - Prob. 23P Ch. 16 - Prob. 24P Ch. 16 - Prob. 25P Ch. 16 - Prob. 26P Ch. 16 - Prob. 27P Ch. 16 - Prob. 28P Ch. 16 - Prob. 29P Ch. 16 - Prob. 30P Ch. 16 - Prob. 31P Ch. 16 - Prob. 32P Ch. 16 - Prob. 33P Ch. 16 - Prob. 34P Ch. 16 - Prob. 35P Ch. 16 - Prob. 36P Ch. 16 - Prob. 37P Ch. 16 - Prob. 38P Ch. 16 - Prob. 39P Ch. 16 - Prob. 40P Ch. 16 - 41. An explosion occurs at the end of a pier. The...Ch. 16 - Prob. 42P Ch. 16 - Prob. 43P Ch. 16 - Prob. 44P Ch. 16 - Prob. 45P Ch. 16 - Prob. 46P Ch. 16 - Prob. 47P Ch. 16 - Prob. 48P Ch. 16 - Prob. 49P Ch. 16 - Prob. 50P Ch. 16 - Prob. 51P Ch. 16 - Prob. 52P Ch. 16 - Prob. 53P Ch. 16 - 54. A source of sound is located at the center of...Ch. 16 - Prob. 55P Ch. 16 - Prob. 56P Ch. 16 - 57. A loudspeaker has a circular opening with a...Ch. 16 - Prob. 58P Ch. 16 - Prob. 59P Ch. 16 - Prob. 60P Ch. 16 - Prob. 61P Ch. 16 - 62. A rocket, starting from rest, travels straight...Ch. 16 - Prob. 63P Ch. 16 - Prob. 64P Ch. 16 - Prob. 65P Ch. 16 - Prob. 66P Ch. 16 - Prob. 67P Ch. 16 - Prob. 68P Ch. 16 - Prob. 69P Ch. 16 - Prob. 70P Ch. 16 - Prob. 71P Ch. 16 - Prob. 72P Ch. 16 - 73. A portable radio is sitting at the edge of a...Ch. 16 - Prob. 74P Ch. 16 - Prob. 75P Ch. 16 - Prob. 76P Ch. 16 - Prob. 77P Ch. 16 - Prob. 78P Ch. 16 - Prob. 79P Ch. 16 - Prob. 80P Ch. 16 - 81. a car is parked 20.0 m directly south of a...Ch. 16 - 82. A loudspeaker in a parked car is producing...Ch. 16 - Prob. 83P Ch. 16 - Prob. 84P Ch. 16 - Prob. 85P Ch. 16 - Prob. 86P Ch. 16 - Prob. 87P Ch. 16 - Prob. 88P Ch. 16 - 89. A recording engineer works in a soundproofed...Ch. 16 - Prob. 90AP Ch. 16 - Prob. 91AP Ch. 16 - Prob. 92AP Ch. 16 - Prob. 93AP Ch. 16 - Prob. 94AP Ch. 16 - Prob. 95AP Ch. 16 - Prob. 96AP Ch. 16 - Prob. 97AP Ch. 16 - Prob. 98AP Ch. 16 - Prob. 99AP Ch. 16 - Prob. 100AP Ch. 16 - Prob. 101AP Ch. 16 - Prob. 102AP Ch. 16 - Prob. 103AP Ch. 16 - Prob. 104AP Ch. 16 - Prob. 105AP Ch. 16 - 106. spider hangs from a strand of silk whose...Ch. 16 - Prob. 107AP Ch. 16 - Prob. 108AP Ch. 16 - Prob. 109AP Ch. 16 - Prob. 110AP Ch. 16 - Prob. 111AP Ch. 16 - Prob. 112CCP Ch. 16 - Prob. 113CCP

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