The image below shows 2 identical balls attached to 2 identical springs with different velocities at the same height. Is the total energy for the spring-ball-earth system greater in case A, greater in case B, equal in the two cases, or impossible to tell?

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)...
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**Problem Statement:**

The image below shows two identical balls attached to two identical springs with different velocities at the same height. Is the total energy for the spring-ball-earth system greater in case A, greater in case B, equal in the two cases, or impossible to tell?

**Diagram Explanation:**

1. **Case A:**
   - A ball (labeled as A) is attached to a spring hanging from a fixed point.
   - The ball is shown with an upward velocity.
   - The ball is at a height \( h \) above the ground.

2. **Case B:**
   - Similar setup as Case A, with a ball (labeled as B) hanging from a spring.
   - The ball is shown with a downward velocity \( v \).
   - The ball is at the same height \( h \) above the ground as in Case A.

**Answer Options:**

- ☐ equal in the two cases
- ☐ greater in case A
- ☐ greater in case B
- ☐ impossible to tell

The question asks to compare the total energy (considering kinetic, potential, and elastic potential energy) of the spring-ball-earth system in both cases.
Transcribed Image Text:**Problem Statement:** The image below shows two identical balls attached to two identical springs with different velocities at the same height. Is the total energy for the spring-ball-earth system greater in case A, greater in case B, equal in the two cases, or impossible to tell? **Diagram Explanation:** 1. **Case A:** - A ball (labeled as A) is attached to a spring hanging from a fixed point. - The ball is shown with an upward velocity. - The ball is at a height \( h \) above the ground. 2. **Case B:** - Similar setup as Case A, with a ball (labeled as B) hanging from a spring. - The ball is shown with a downward velocity \( v \). - The ball is at the same height \( h \) above the ground as in Case A. **Answer Options:** - ☐ equal in the two cases - ☐ greater in case A - ☐ greater in case B - ☐ impossible to tell The question asks to compare the total energy (considering kinetic, potential, and elastic potential energy) of the spring-ball-earth system in both cases.
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