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Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B) Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant R.

Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B) Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant R.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B). Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant \( \mathbf{R} \).
Transcribed Image Text:Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B). Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant \( \mathbf{R} \).
## Vector Addition Diagram This diagram illustrates vector addition on a coordinate grid with labeled axes (North, South, East, West). ### Diagram Components: 1. **Vectors:** - **Vector A:** - Magnitude: 12.10 meters - Angle: 124.85° - **Vector B:** - Magnitude: 16.77 meters - Angle: 221.35° - **Resultant Vector R:** - Magnitude: 19.75 meters - Angle: 183.94° 2. **Coordinate Grid:** - X-axis (horizontal) measures distance in meters toward East and West. - Y-axis (vertical) measures distance in meters toward North and South. - Grid lines are marked every 5 meters. 3. **Instructions:** 1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum. 2. Show the vector sum \( R \). 3. Your magnitudes must be within 2 meters of the correct values, and the angles must be within ±5°. ### Note: A message at the bottom states: - **! No. Not the right answer. Go to the next part for solution.** This diagram assists in visual learning about vector operations, showcasing how individual vectors add up to form a resultant vector both in magnitude and direction.
Transcribed Image Text:## Vector Addition Diagram This diagram illustrates vector addition on a coordinate grid with labeled axes (North, South, East, West). ### Diagram Components: 1. **Vectors:** - **Vector A:** - Magnitude: 12.10 meters - Angle: 124.85° - **Vector B:** - Magnitude: 16.77 meters - Angle: 221.35° - **Resultant Vector R:** - Magnitude: 19.75 meters - Angle: 183.94° 2. **Coordinate Grid:** - X-axis (horizontal) measures distance in meters toward East and West. - Y-axis (vertical) measures distance in meters toward North and South. - Grid lines are marked every 5 meters. 3. **Instructions:** 1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum. 2. Show the vector sum \( R \). 3. Your magnitudes must be within 2 meters of the correct values, and the angles must be within ±5°. ### Note: A message at the bottom states: - **! No. Not the right answer. Go to the next part for solution.** This diagram assists in visual learning about vector operations, showcasing how individual vectors add up to form a resultant vector both in magnitude and direction.
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Step 1: Determine the given data, vector A and vector B

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