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02 - fryer(vdf96 Assignment 1.5 Force and Vectors graves(6...

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fryer (vdf96) – Assignment 1.5 Force and Vectors – graves – (6) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. This assignment was originally due on 9-14- 08. 001 10.0points Which of the following is a vector quantity? 1. mass 2. None of these correct 3. temperature 4. density 5. speed Explanation: A vector is a quantity with both magni- tude and direction. Temperature, density, and mass do not have direction, so they are scalars. Speed, by definition, is the magni- tude of velocity (which is a vector), so it is also a scalar. 002 10.0points When two vectors sum to zero, how must they be related? 1. The magnitudes are different; the direc- tions are opposite. 2. All are wrong. 3. The magnitudes are different; the direc- tions are the same. 4. The magnitudes are the same; the direc- tions are opposite. correct 5. Both magnitude and direction are the same. Explanation: The magnitudes are the same, and the di- rections are opposite. 003 10.0points A person walks 25 m west and then 45 m at an angle of 60 north of east. What is the magnitude of the total dis- placement? 1. 56.3 m 2. 26.5 m 3. 43.6 m 4. 31.0 m 5. 61.4 m 6. 40.9 m 7. 45.7 m 8. 39.1 m correct 9. 60.2 m 10. 67.8 m Explanation: Let : d 1 = 25 m at θ 1 = 180 and d 2 = 45 m at θ 2 = 60 . d x = d 1 + d 2 cos θ 2 = 25 m + (45 m) cos 60 = 2 . 5 m and d y = d 2 sin θ 2 = (45 m) sin 60 = 38 . 9711 m , so d = radicalBig d 2 x + d 2 y = radicalBig ( 2 . 5 m) 2 + (38 . 9711 m) 2 = 39 . 0512 m . 004 10.0points A hiker makes four straight-line walks
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fryer (vdf96) – Assignment 1.5 Force and Vectors – graves – (6) 2 A 13 km at 89 B 11 km at 122 C 21 km at 329 D 19 km at 45 Which vector diagram best represents this hike? All angles are measured in a counter- clockwise direction from the positive x -axis.
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