The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of Cis 35.0° north of west. The hiker ends up where she started. Therefore, it follows that the resultant displacement is zero, or A + B + C = 0. What is the magnitude of vector ? O 4790 m O 6140 m O 7230 m O 5550 m O 3530 m Submit Answer Save for Later
The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 m in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of Cis 35.0° north of west. The hiker ends up where she started. Therefore, it follows that the resultant displacement is zero, or A + B + C = 0. What is the magnitude of vector ? O 4790 m O 6140 m O 7230 m O 5550 m O 3530 m Submit Answer Save for Later
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Wondering if you can help me spot where I went wrong. Working with vectors with distance and no magnitude
Transcribed Image Text:8
#19
X =
250 N fe
E
A = 1550m 250 N
B² = B 41° east of south
C² €35° North of Wast
410
c>
Ay-
330
Ax = 1550m Ay = Sin (25°) (1550m): 655.1m
Bx = Sin (419) B = .656 B
By = Cos (41⁰) B = .755B
Cx = Cos (35°)C=819c
C₁ = Sin (35°) c = .574 c
2
1550 m +.656 BT-819c=0/1/
655.1m-.755B +. 574C = 0
y²
655.1m- 755B +.574C =0 -D 655.1m +.574C = ⋅755B
FO
+755B
1155
755
B = 867.7m +.760c
PLUG IN
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1550m +.656(867.7m +.760c) - 819 c =0
1550m + 569.211 m +.499 € - .819c2119.21-300=0
2119.21-32c-0 -0 2119.21=32c
•32 c=6622,5m
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Chapter 1 Adaptive Practice
1.8 Addition of Vectors by Means of Components
The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 m
in a direction 25.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is
41.0° east of south. Similarly, the direction of is 35.0° north of west. The hiker ends up where she started. Therefore, it follows
that the resultant displacement is zero, or A + B + C = 0. What is the magnitude of vector C ?
O 4790 m
0 6140 m
O 7230 m
0 5550 m
O 3530 m
Save for Later
Submit Answer
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