**13. You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12° angle with the horizontal. As you face the window (0.90 m high, 2.0 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window cor- ner A and eventually disappears at window corner B. How much time passes between appearance and disappearance of the upper edge of the wall? A km) mangle Problem 13 A 3.0 m/s 12° B
**13. You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12° angle with the horizontal. As you face the window (0.90 m high, 2.0 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window cor- ner A and eventually disappears at window corner B. How much time passes between appearance and disappearance of the upper edge of the wall? A km) mangle Problem 13 A 3.0 m/s 12° B
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
Physics Question #13 is attached image
![### Problem 13
#### Scenario:
You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12° angle with the horizontal. As you face the window (0.90 m high, 2.0 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B.
#### Question:
How much time passes between the appearance and disappearance of the upper edge of the wall?
#### Diagram Explanation:
1. The diagram shows the window of the train compartment (0.90 m high and 2.0 m wide) and the wall sloping upward at an angle of 12°.
2. The upper edge of the wall first appears at point A (lower-left corner of the window).
3. The top edge of the wall moves across the window to point B (upper-right corner of the window) as the train moves.
4. The train is traveling to the left at a speed of 3.0 m/s.
To find the time that passes between the appearance and disappearance of the upper edge of the wall, we need to analyze the relative motion of the train and the wall's slope. Here is the detailed approach:
#### Calculations:
1. The change in height of the top edge of the wall as it moves across.
- Window height = 0.90 m
- Window width = 2.0 m
2. Determine the horizontal distance for the top of the wall to appear at point B:
- \[ \tan(12^\circ) = \frac{0.90 \, \text{m}}{x} \]
- Solve for x: \[ x = \frac{0.90 \, \text{m}}{\tan(12^\circ)} \approx 4.27 \, \text{m} \]
3. The time it takes for the top of the wall to move across the window:
- Distance = 2.0 m (width of the window)
- Speed of the train = 3.0 m/s
The horizontal speed of the train relative to the wall is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2c8c9d8-cb7d-4bb3-b241-ba372e4ba26e%2F1cf13d93-b7aa-4582-bbae-bce4b9857d67%2Ftwunoo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 13
#### Scenario:
You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12° angle with the horizontal. As you face the window (0.90 m high, 2.0 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B.
#### Question:
How much time passes between the appearance and disappearance of the upper edge of the wall?
#### Diagram Explanation:
1. The diagram shows the window of the train compartment (0.90 m high and 2.0 m wide) and the wall sloping upward at an angle of 12°.
2. The upper edge of the wall first appears at point A (lower-left corner of the window).
3. The top edge of the wall moves across the window to point B (upper-right corner of the window) as the train moves.
4. The train is traveling to the left at a speed of 3.0 m/s.
To find the time that passes between the appearance and disappearance of the upper edge of the wall, we need to analyze the relative motion of the train and the wall's slope. Here is the detailed approach:
#### Calculations:
1. The change in height of the top edge of the wall as it moves across.
- Window height = 0.90 m
- Window width = 2.0 m
2. Determine the horizontal distance for the top of the wall to appear at point B:
- \[ \tan(12^\circ) = \frac{0.90 \, \text{m}}{x} \]
- Solve for x: \[ x = \frac{0.90 \, \text{m}}{\tan(12^\circ)} \approx 4.27 \, \text{m} \]
3. The time it takes for the top of the wall to move across the window:
- Distance = 2.0 m (width of the window)
- Speed of the train = 3.0 m/s
The horizontal speed of the train relative to the wall is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac
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 2 steps with 2 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