### Physics Problem: Roller Coaster Kinetic Energy **Problem Statement:** Four identical carts (except for colors) are traveling on a roller coaster track. All carts have a velocity of \( v \) at the positions shown. Given the situation shown, ignoring friction, which one has the greatest kinetic energy? **Diagram Explanation:** The diagram illustrates a roller coaster track with four carts labeled as Cart A, Cart B, Cart C, and Cart D positioned at different points: - **Cart A** is at the top of a lift hill. - **Cart B** is descending from a hill. - **Cart C** is on a flat section at the bottom of a small dip. - **Cart D** is within a loop on the track. The track is titled "LIFT HILL" near Cart A, indicating an elevation change. **Answer Options:** - Cart B - Cart A - Cart C - A = B = C = D - Cart D - Need the info for height **Considerations:** - Since all carts have the same mass and the velocity \( v \), their kinetic energy depends on their velocities and heights. - Kinetic energy is calculated as \( KE = \frac{1}{2} mv^2 \). - Higher potential energy due to elevation affects kinetic energy distribution. To solve, consider height information (elevation) in determining the cart's potential and kinetic energy at each position.
### Physics Problem: Roller Coaster Kinetic Energy **Problem Statement:** Four identical carts (except for colors) are traveling on a roller coaster track. All carts have a velocity of \( v \) at the positions shown. Given the situation shown, ignoring friction, which one has the greatest kinetic energy? **Diagram Explanation:** The diagram illustrates a roller coaster track with four carts labeled as Cart A, Cart B, Cart C, and Cart D positioned at different points: - **Cart A** is at the top of a lift hill. - **Cart B** is descending from a hill. - **Cart C** is on a flat section at the bottom of a small dip. - **Cart D** is within a loop on the track. The track is titled "LIFT HILL" near Cart A, indicating an elevation change. **Answer Options:** - Cart B - Cart A - Cart C - A = B = C = D - Cart D - Need the info for height **Considerations:** - Since all carts have the same mass and the velocity \( v \), their kinetic energy depends on their velocities and heights. - Kinetic energy is calculated as \( KE = \frac{1}{2} mv^2 \). - Higher potential energy due to elevation affects kinetic energy distribution. To solve, consider height information (elevation) in determining the cart's potential and kinetic energy at each position.
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
100%
Transcribed Image Text:### Physics Problem: Roller Coaster Kinetic Energy
**Problem Statement:**
Four identical carts (except for colors) are traveling on a roller coaster track. All carts have a velocity of \( v \) at the positions shown. Given the situation shown, ignoring friction, which one has the greatest kinetic energy?
**Diagram Explanation:**
The diagram illustrates a roller coaster track with four carts labeled as Cart A, Cart B, Cart C, and Cart D positioned at different points:
- **Cart A** is at the top of a lift hill.
- **Cart B** is descending from a hill.
- **Cart C** is on a flat section at the bottom of a small dip.
- **Cart D** is within a loop on the track.
The track is titled "LIFT HILL" near Cart A, indicating an elevation change.
**Answer Options:**
- Cart B
- Cart A
- Cart C
- A = B = C = D
- Cart D
- Need the info for height
**Considerations:**
- Since all carts have the same mass and the velocity \( v \), their kinetic energy depends on their velocities and heights.
- Kinetic energy is calculated as \( KE = \frac{1}{2} mv^2 \).
- Higher potential energy due to elevation affects kinetic energy distribution.
To solve, consider height information (elevation) in determining the cart's potential and kinetic energy at each position.
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