AA У У 2 AL 4 m 1 60° 20° -1 1 3m B. FIGURE P3.25 FIGURE P3.24 25. I FIGURE P3.25 shows vectors A and B. Find vector Č such the Á +B + C = 0. Write your answer in component form. Ď = 2Á + B. Wite 26. II FIGURE P3.26 shows vectors A and B. Find %3I your answer in component form. 25. I FIGURE P3.25 shows vectors A and B. Find vector Č 200 * e of 1 -1 FIGURE P3.25 d the FIGURE P3.24 rems such that À +B + C = Ō. Write your answer in component form 26. I FIGURE P3.26 shows vectors À and B. Find Ď = 2Á + B. Write your answer in component form. islqx abuting 2 m 15° MA232IDAEX 15° 4m CC FIGURE P3.26 27. || Find a vector that points in the same direction as the vector (î + î) and whose magnitude is 1. 28. || While vacationing in the mountains morning

AA У У 2 AL 4 m 1 60° 20° -1 1 3m B. FIGURE P3.25 FIGURE P3.24 25. I FIGURE P3.25 shows vectors A and B. Find vector Č such the Á +B + C = 0. Write your answer in component form. Ď = 2Á + B. Wite 26. II FIGURE P3.26 shows vectors A and B. Find %3I your answer in component form. 25. I FIGURE P3.25 shows vectors A and B. Find vector Č 200 * e of 1 -1 FIGURE P3.25 d the FIGURE P3.24 rems such that À +B + C = Ō. Write your answer in component form 26. I FIGURE P3.26 shows vectors À and B. Find Ď = 2Á + B. Write your answer in component form. islqx abuting 2 m 15° MA232IDAEX 15° 4m CC FIGURE P3.26 27. || Find a vector that points in the same direction as the vector (î + î) and whose magnitude is 1. 28. || While vacationing in the mountains morning

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 42PQ: The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 =...

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The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m). (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P3.46. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure P3.46
A Three vectors are shown in Figure P3.44, but they are not drawn to scale. The sum of the three vectors is R=F1+F2+F3. If Ry = 0 and F2 = 0.5F3, find Rx in terms of F1.
A fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s leaves the end of a horizontal channel at the top of a vertical wall h = 2.35 m high and falls into a pool (Fig. P3.54). (a) How far from the wall will the water land? Will the space behind the waterfall be wide enough for a pedestrian walkway? (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-twelfth actual size. How fast should the water flow in the channel in the model? Figure P3.54
Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?