College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Roller Coaster Physics Problem**
**1. Problem Statement:**
A roller coaster, shown below, is pulled up to point A where it and its screaming occupants are released from rest. Assuming no friction, calculate the speed at point D.
Given heights:
- \( h_1 = 40.0 \, \text{m} \)
- \( h_2 = 16.0 \, \text{m} \)
- \( h_3 = 26.0 \, \text{m} \)
Calculate the speed at point D:
\[ \_\_\_\_\_\_\_\_ \, \text{m/s} \]
**Diagram Explanation:**
The diagram shows the profile of a roller coaster track with three main points identified:
- Point A at a height \( h_1 \) of 40.0 meters.
- Point B at a lower section with a height \( h_2 \) of 16.0 meters.
- Point C at a height \( h_3 \) of 26.0 meters.
- Point D where the calculation of speed is required.
The track's profile includes two hills and valleys, indicating changes in height that affect the potential and kinetic energy of the roller coaster. The roller coaster starts at the highest point A and moves through points B and C before reaching D.
](https://content.bartleby.com/qna-images/question/cd0a9c9c-b0c8-47bb-88dc-3ac08f167320/d6e174e3-9a01-4512-b989-20eca54b5d5b/p8bgxo_processed.jpeg)
Transcribed Image Text:**Roller Coaster Physics Problem**
**1. Problem Statement:**
A roller coaster, shown below, is pulled up to point A where it and its screaming occupants are released from rest. Assuming no friction, calculate the speed at point D.
Given heights:
- \( h_1 = 40.0 \, \text{m} \)
- \( h_2 = 16.0 \, \text{m} \)
- \( h_3 = 26.0 \, \text{m} \)
Calculate the speed at point D:
\[ \_\_\_\_\_\_\_\_ \, \text{m/s} \]
**Diagram Explanation:**
The diagram shows the profile of a roller coaster track with three main points identified:
- Point A at a height \( h_1 \) of 40.0 meters.
- Point B at a lower section with a height \( h_2 \) of 16.0 meters.
- Point C at a height \( h_3 \) of 26.0 meters.
- Point D where the calculation of speed is required.
The track's profile includes two hills and valleys, indicating changes in height that affect the potential and kinetic energy of the roller coaster. The roller coaster starts at the highest point A and moves through points B and C before reaching D.
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