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Physics exercises_solution: Chapter 01

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10 3.33 s 10 33 . s 3 m 10 3.00. 3 km 1.609. 60  10 3 g. 16  10 7 s  π  10 7 s s. cm 5.10 . 0 = 0.20% and 0.01 1.9 cm cm = 0.53%.. (two significant figures) and the uncertainty in the volume, found from the extreme values of the...

Physics exercises_solution:Chapter 02

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and so the magnitude of the average velocity is. 2.2: a) The magnitude of the average velocity on the return flight is . 40.0 s and the westward run takes. b) The first stage of the journey takes 8.0 240 m m s  30 s and the second stage of the journey takes. 11.4 c) The first case (part...

Physics exercises_solution: Chapter 03

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in terms of the parameters, this time is 2 b 3 c. (3.18) with y  0 , v 0 y  0 and t  0 . b) The bomb’s constant horizontal velocity will be that of the plane, so the bomb travels a horizontal distance x  v x t. c) The bomb’s horizontal component of velocity is...

Physics exercises_solution: Chapter 04

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4.1: a) For the magnitude of the sum to be the sum of the magnitudes, the forces must be parallel, and the angle between them is zero. b) The forces form the sides of a right isosceles triangle, and the angle between them is 90 . 0 , and the forces are perpendicular. c) For the sum to have 0...

Physics exercises_solution: Chapter 05

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b) If the mass of the light pulley may be neglected, the net force on the pulley is the vector sum of the tension in the chain and the tensions in the two parts of the rope. 5.3: a) The two sides of the rope each exert a force with vertical component T sin θ , and the sum of...

Physics exercises_solution: Chapter 06

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b) Gravity is directed opposite to the direction of the bucket’s motion, so Eq. (6.2) gives the negative of the result of part (a), or  265 J . and so the work done by friction is. 80  10 6 N. 75  10 3 m ) cos 14. 62  10 9 J , or J to two...

Physics exercises_solution: Chapter 07

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Note that the result is independent of the speed, and that an extra figure was kept in part (b) to avoid roundoff error.. of the result of part (a) and the horizontal displacement. (7.5), depends only on the magnitude of the velocities, not the directions, so the speed is again 24 . 7.6: a) (Denote the top of the ramp...

Physics exercises_solution: Chapter 08

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8.5: The y-component of the total momentum is. This quantity is negative, so the total momentum of the system is in the  y -direction.. using the value of the arctangent function in the fourth quadrant  p x  0 , p y  0. 00 kg  10. 8.8: a) The magnitude of the velocity has changed by....

Physics exercises_solution: Chapter 09

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(12.0 rad s 3 ) t , so at t  3.5 s, α  42 rad s 2 . is proportional to the time, so the average angular acceleration between any two times is the arithmetic average of the angular accelerations. t The angular velocity is not linear function of time, so the average angular velocity is not the...

Physics exercises_solution: Chapter 10

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10.1: Equation (10.2) or Eq. (10.3) is used for all parts.. 00 m)(10.0 N) sin 90. 00 m)(10.0 N) sin 120. 00 m)(10.0 N) sin 30. 00 m)(10.00 N) sin 60. 00 m)(10.0 N) sin 180. 10.7: I  3 2 MR 2  2 mR 2 , where M  8 . 10.9: v  2 as  2...

Physics exercises_solution: Chapter 11

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11.1: Take the origin to be at the center of the small ball. from the center of the small ball.. 11.2: The calculation of Exercise 11.1 becomes. 11.4: a) The force is applied at the center of mass, so the applied force must have the same magnitude as the weight of the door, or 300 N. 11.6: The other person...

Physics exercises_solution: Chapter 12

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12.2: Use of Eq. (12.1) gives. (12.1) twice gives. 12.10:. 12.11:. 38  10 7 m.. 12.16: a) Using g E  9 . 80 m s 2 , Eq  12 . 12.18: M  gR G 2  2 . 44  10 21 kg and. 12.19: 2 E r G mm F. 12.21: From eq. (12.1), G...

Physics exercises_solution: Chapter 13

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13.3: The period is 0 440 . 13.5: This displacement is 4 1 of a period.. 13.8: Solving Eq. (13.12) for k,. 13.9: From Eq. (13.12) and Eq. (13.10), T  2 π 140 0 . 13.10: a) 2 2 sin. (13.4) if ω. (13.4) is not satisfied. (13.4) if 2. 13.11: a) x. 13.12: a) From Eq. (13.19. A...

Physics exercises_solution: Chapter 14

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14.1: w  mg  ρVg. 14.4: The length L of a side of the cube is. 14.7: p  p 0  ρgh. 14.8: The pressure difference between the top and bottom of the tube must be at least 5980 Pa in order to force fluid into the vein:. 14.9: a) ρgh. 14.11: a) ρgh. 14.12: p  ρgh....

Physics exercises_solution: Chapter 15

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15.1: a) The period is twice the time to go from one extreme to the other, and s. 15.4: Denoting the speed of light by c. 15.6: Comparison with Eq. (15.4) gives a) 6 . 15.9: a) sin. (15.12) with v  ω k. (15.12) with v  ω k . ωA cos ( kx  ωt ) and a...

Physics exercises_solution: Chapter 16

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16.3: From Eq. (16.5), p max  BkA  2 π BA λ  2 πBA f v. 16.4: The values from Example 16.8 are B  3 . 16  10 4 Pa, f  1000 Hz, m.. 16.5: a) Using Equation (16.7), B  v 2 ρ. 16.6: a) The time for the wave to travel to Caracas...

Physics exercises_solution: Chapter 17

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17.1: From Eq. 17.2: From Eq. 17.5: a) From Eq. 17.8: For ( b. 17.9: Combining Eq. (17.2) and Eq. 17.11: From Eq. 17.12: From Eq. 17.13: From Eq. 76  10 4 Pa.. 17.16. 17.17. 17.18: d. 17.19: a) αD 0 T. 17.20: α T. 17.21: α. 17.22: From Eq. 17.23 β V 0  T. 75  10...

Physics exercises_solution: Chapter 18

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18.1: a) n  m tot M. (18.3) gives. 18.3: For constant temperature, Eq. (18.6) becomes. 18.4: a) Decreasing the pressure by a factor of one-third decreases the Kelvin. 18.6: The temperature is T  22 . 18.7: From Eq. 18.9: From Eq. 18.10: a) 5 . 18.11: V 2  V 1 ( T 2 T 1. 18.12: a)...

Physics exercises_solution: Chapter 19

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33  10 3 J . 19.4: At constant pressure, W  p  V  nR  T , so. 50  10 3 J.. 19.8: a) W 13  p 1 ( V 2  V 1. 19.9: Q  254 J, W. 19.10: a) p V. 78  10 4 J.. 15  10 5 J J...

Physics exercises_solution: Chapter 20

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20.1: a) 2200 J  4300 J  6500 J. 20.2: a) 9000 J  6400 J  2600 J. 20.4: a) Q  1 e Pt. 43  10 5 J.. 43  10 5 J. 180  10 3 W)(1.00 s. 20.5: a) e MW MW  0 . 20.6: Solving Eq. (20.6) for r. 50  10...