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Unformatted text preview: lenoir (wml297) oldhomework 07 Turner (58220) 1 This printout should have 16 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Four vectors, each of magnitude 59 m, lie along the sides of a parallelogram as shown in the figure. The angle between vector A and B is 73 . A 5 9 m C 59 m B 59 m D 5 9 m 73 What is the magnitude of the vector sum of the four vectors? Correct answer: 189 . 71 m. Explanation: Let : = 73 and = 59 m . The vectors are vector B = vector C = and vector A = vector D = ( cos ) + ( sin ) , so vector A + vector B + vector C + vector D = 2 (1 + cos ) + 2 sin = 2 (59 m) (1 + cos 73 ) + 2 (59 m) sin73 = (152 . 5 m) + (112 . 844 m) , and R = radicalBig (152 . 5 m) 2 + (112 . 844 m) 2 = 189 . 71 m . Alternate Solution: Rotate the figure clockwise by 1 2 . The resultant vector must lie along the horizontal line connecting the tails of vectors A and B and the heads of vectors C and D . The four components along this line are cos parenleftBig 2 parenrightBig , so R = 4 cos parenleftBig 2 parenrightBig = 4 (59 m) cos (36 . 5 ) = 189 . 71 m . 002 10.0 points A novice golfer on the green takes three strokes to sink the ball. The successive dis placements are 7 . 2 m to the north, 6 . 6 m northeast, and 5 . 6 m 45 west of south. Start ing at the same initial point, an expert (lucky) golfer could make the hole in a single displace ment. What is the magnitude of this single dis placement? Correct answer: 7 . 93866 m. Explanation: Take the sum of these three displacements: d = d 1 + d 2 + d 3 = d x + d y where d x = d 2 cos 45 d 3 sin30 d y = d 1 + d 2 sin45 d 3 cos 30 so, the magnitude of d is:  d  = radicalBig d 2 x + d 2 y 003 (part 1 of 2) 10.0 points A submarine dives 191.0 m at an angle of 14.0 below the horizontal. What is the horizontal component of the submarines displacement? Correct answer: 185 . 326 m. Explanation: lenoir (wml297) oldhomework 07 Turner (58220) 2 Let : d = 191 . 0 m and = 14 ....
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 Spring '10
 Turner

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