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Unformatted text preview: kodeih (njk359) HW 2 Coker (56625) 1 This printout should have 14 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. In class we did not cover the part of Ch. 3 dealing with vector products, and vector products will not be covered on this home work or on Quiz 1. Vector products will be in troduced in later chapters as they are needed for the concepts of work and torque. 001 10.0 points A hiker makes three straightline walks A 33 km at 88 B 19 km at 135 C 11 km at 5 in random directions and lengths starting at position (41 km , 41 km) , listed below and shown below in the plot. A B C Scale: 10 km = Figure: Drawn to ok. Which vector will return the hiker to the starting point? All angles are measured in a counterclockwise direction from the positive xaxis. 1. bardbl vector D bardbl = 29 . 6996 km , d = 358 . 179 2. bardbl vector D bardbl = 17 . 5066 km , d = 106 . 637 3. bardbl vector D bardbl = 44 . 3605 km , d = 266 . 919 4. bardbl vector D bardbl = 47 . 3922 km , d = 271 . 602 cor rect 5. bardbl vector D bardbl = 74 . 402 km , d = 299 . 761 6. bardbl vector D bardbl = 28 . 489 km , d = 324 . 228 7. bardbl vector D bardbl = 18 . 1468 km , d = 13 . 6121 8. bardbl vector D bardbl = 20 . 1939 km , d = 84 . 4686 9. bardbl vector D bardbl = 3 . 99219 km , d = 235 . 351 10. bardbl vector D bardbl = 28 . 1364 km , d = 253 . 127 Explanation: a x = (33 km) cos88 = 1 . 15166 km , a y = (33 km) sin88 = 32 . 9799 km , b x = (19 km) cos135 = 13 . 435 km , b y = (19 km) sin135 = 13 . 435 km , c x = (11 km) cos5 = 10 . 9581 km , c y = (11 km) sin5 = 0 . 958714 km , A B d C D Scale: 10 km = x = a x + b x + c x kodeih (njk359) HW 2 Coker (56625) 2 = 1 . 15166 km + ( 13 . 435 km) + (10 . 9581 km) y = a y + b y + c y = 32 . 9799 km + (13 . 435 km) + (0 . 958714 km) The resultant is D = radicalBig ( x ) 2 + ( y ) 2 = radicalBig (39 . 6748 km) 2 + (88 . 3736 km) 2 D = arctan vextendsingle vextendsingle vextendsingle vextendsingle 88 . 3736 km (41 km) 39 . 6748 km (41 km) vextendsingle vextendsingle vextendsingle vextendsingle = 271 . 602 ....
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This note was uploaded on 09/25/2010 for the course PHY 56640 taught by Professor Coker during the Fall '10 term at University of Texas at Austin.
 Fall '10
 COKER

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