PHYS 303K HW 2 - kodeih (njk359) HW 2 Coker (56625) 1 This...

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Unformatted text preview: kodeih (njk359) HW 2 Coker (56625) 1 This print-out should have 14 questions. Multiple-choice 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 straight-line 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 counter-clockwise direction from the positive x-axis. 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.

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PHYS 303K HW 2 - kodeih (njk359) HW 2 Coker (56625) 1 This...

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