Please answer the following question(s): Jack walks 3 km 45° south of east (Leg 1). He then changes directions and walks another 5 km 53° north of west (Leg 2). What is Jack's displacement (magnitude and direction)? Use the graphical method
Please answer the following question(s): Jack walks 3 km 45° south of east (Leg 1). He then changes directions and walks another 5 km 53° north of west (Leg 2). What is Jack's displacement (magnitude and direction)? Use the graphical method
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)...
Related questions
Question

Transcribed Image Text:The image contains a vector diagram set on a coordinate grid with axes labeled as North, South, East, and West. The grid is divided into 1 km increments, spanning from -4 km to 4 km on both axes.
**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 \( \vec{R} \).
3. Your vectors must be within 0.6 km of the correct values.
**Legend:**
- **Leg 1**: Represented by a dashed blue arrow moving vertically upward. The vector length is 2.38 km, and it's angled at 89.83°.
- **Leg 2**: Represented by a dashed red arrow also moving vertically upward, parallel to Leg 1. This vector is 2 km in length at an angle of 90°.
- **R**: Represented by a solid black arrow moving vertically upward along the y-axis. This vector is 2 km at an angle of 90°.
The vectors are displayed on the grid to demonstrate vector addition, with both Leg 1 and Leg 2 moving in the northward direction and resulting in vector \( \vec{R} \).

Transcribed Image Text:**Knowledge Check: Jack’s Displacement, Graphical Method Part 1**
**Please answer the following question(s):**
Jack walks 3 km 45° south of east (Leg 1).
He then changes directions and walks another 5 km 53° north of west (Leg 2).
What is Jack's displacement (magnitude and direction)?
Use the graphical method.
**Note:** The angles in the applet are measured from the east.
**Graph Explanation:**
The graph features a grid with axes labeled “West” to “East” horizontally, and “North” vertically. It measures distances in kilometers, ranging from -4 km to 4 km.
- **Vectors:**
- A solid blue arrow (Leg 1) extends from the origin, angled 45° south of east, ending at approximately (2.1 km, -2.1 km).
- A dashed red arrow (Leg 2) originates near (2.1 km, -2.1 km), angled 53° north of west, and extends to approximately (-3 km, 4 km).
- A solid black arrow shows the overall displacement from the origin to the endpoint of Jack’s path.
**Instructions:**
1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose Jack’s complete displacement.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley

College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON