College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 38.5 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 23.5 km/h. How far from Grand Bahama is the hurricane 4.45 h after it passes over the island?
Step 1
Assume that the Grand Bahama Island lies at the origin of the coordinate system shown in the diagram at below. Vector  represents the hurricane's displacement at 38.5 km/h and vector  represents its displacement after it shifts course three hours later and proceeds at a speed of 23.5 km/h. Vector  represents the hurricane's displacement after a total time of 4.45h.
A coordinate plane has a horizontal, leftward axis labeled "west" and a vertical, upward axis labeled "north". Three vectors are plotted.
  • Vector A starts at the origin and points up and to the left at an angle of 60.0° above the horizontal axis.
  • Vector B, which is much shorter than vector A, starts at the tip of vector A and points vertically upward.
  • Vector R starts at the origin and moves up and to the left, ending at the tip of vector B.
Vector  in the diagram has components to the west and to the north in this coordinate system while vector  has only a north component. During the first three hours after passing the island, the displacement of the hurricane is represented by vector , and the storm travels a distance that is the magnitude of . This distance is
### Tutorial Exercise

**Problem Statement:**
The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 38.5 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 23.5 km/h. How far from Grand Bahama is the hurricane 4.45 hours after it passes over the island?

### Step 1

**Assumptions and Diagram:**
Assume that the Grand Bahama Island lies at the origin of the coordinate system shown in the diagram below. 

- Vector \( \vec{A} \) represents the hurricane's displacement at 38.5 km/h.
- Vector \( \vec{B} \) represents its displacement after it shifts course three hours later and proceeds at a speed of 23.5 km/h.
- Vector \( \vec{R} \) represents the hurricane's displacement after a total time of 4.45 hours.

![Hurricane Path Diagram](image_url)

In the diagram:
- Vector \( \vec{A} \) has components to the west and to the north.
- Vector \( \vec{B} \) has only a north component.

During the first three hours after passing the island, the displacement of the hurricane is represented by vector \( \vec{A} \), and the storm travels a distance that is the magnitude of \( \vec{A} \). This distance is:

\[ A = v_1 \Delta t_1 = \]

\[ \] km/h \[ \] km

#### Error Messages:
- Your response differs from the correct answer by more than 100%. km/h \[ \] km
- Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. \( h \) = \[ \] km
- Your response differs from the correct answer by more than 10%. Double check your calculations. km and the associated vector \( \vec{A} \) is in a direction 60.0° north of west.

**Note:**
The explanations and calculations here are structured to aid in problem-solving and conceptual understanding of vectors and their applications in real-world scenarios such as tracking hurricane paths.

### Need Help?
Read It (Hyperlink to further material or guidance)

(Note: Replace the placeholder image URL with the actual URL if the image is
expand button
Transcribed Image Text:### Tutorial Exercise **Problem Statement:** The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 38.5 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 23.5 km/h. How far from Grand Bahama is the hurricane 4.45 hours after it passes over the island? ### Step 1 **Assumptions and Diagram:** Assume that the Grand Bahama Island lies at the origin of the coordinate system shown in the diagram below. - Vector \( \vec{A} \) represents the hurricane's displacement at 38.5 km/h. - Vector \( \vec{B} \) represents its displacement after it shifts course three hours later and proceeds at a speed of 23.5 km/h. - Vector \( \vec{R} \) represents the hurricane's displacement after a total time of 4.45 hours. ![Hurricane Path Diagram](image_url) In the diagram: - Vector \( \vec{A} \) has components to the west and to the north. - Vector \( \vec{B} \) has only a north component. During the first three hours after passing the island, the displacement of the hurricane is represented by vector \( \vec{A} \), and the storm travels a distance that is the magnitude of \( \vec{A} \). This distance is: \[ A = v_1 \Delta t_1 = \] \[ \] km/h \[ \] km #### Error Messages: - Your response differs from the correct answer by more than 100%. km/h \[ \] km - Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. \( h \) = \[ \] km - Your response differs from the correct answer by more than 10%. Double check your calculations. km and the associated vector \( \vec{A} \) is in a direction 60.0° north of west. **Note:** The explanations and calculations here are structured to aid in problem-solving and conceptual understanding of vectors and their applications in real-world scenarios such as tracking hurricane paths. ### Need Help? Read It (Hyperlink to further material or guidance) (Note: Replace the placeholder image URL with the actual URL if the image is
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Physics
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.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON