OldHW7 - hiarker (srh959) oldhomework 07 Turner (58220) 1...

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Unformatted text preview: hiarker (srh959) oldhomework 07 Turner (58220) 1 This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Four vectors, each of magnitude 53 m, lie along the sides of a parallelogram as shown in the figure. The angle between vector A and B is 40 . A 5 3 m C 53 m B 53 m D 5 3 m 40 What is the magnitude of the vector sum of the four vectors? Correct answer: 199 . 215 m. Explanation: Let : = 40 and = 53 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 (53 m) (1 + cos 40 ) + 2 (53 m) sin 40 = (187 . 201 m) + (68 . 1355 m) , and R = radicalBig (187 . 201 m) 2 + (68 . 1355 m) 2 = 199 . 215 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 (53 m) cos(20 ) = 199 . 215 m . 002 10.0 points A novice golfer on the green takes three strokes to sink the ball. The successive dis- placements are 4 . 5 m to the north, 6 . 9 m northeast, and 1 . 9 m 44 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: 8 . 76725 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 156.0 m at an angle of 15.0 below the horizontal. What is the horizontal component of the submarines displacement? Correct answer: 150 . 684 m....
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OldHW7 - hiarker (srh959) oldhomework 07 Turner (58220) 1...

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