### Spring Mechanics Problem **Given Scenario:** An ideal spring of negligible mass is 13.00 cm long when nothing is attached to it. When you hang a 3.55 kg object from it, you measure its length to be 14.40 cm. --- **Part A:** - **Objective:** Determine the total length of the spring to store 10.0 J of potential energy. Assume the spring continues to obey Hooke's law. - **Instructions:** - Express your answer in centimeters to three significant figures. - If there is more than one answer, separate them by a comma. \[ L_{\text{total}} = \_\_\_\_ \, \text{cm} \] --- **Note:** The problem involves applying the principles of Hooke’s law and energy in springs to find the solution.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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### Spring Mechanics Problem

**Given Scenario:**

An ideal spring of negligible mass is 13.00 cm long when nothing is attached to it. When you hang a 3.55 kg object from it, you measure its length to be 14.40 cm.

---

**Part A:**

- **Objective:** Determine the total length of the spring to store 10.0 J of potential energy. Assume the spring continues to obey Hooke's law.
  
- **Instructions:** 
  - Express your answer in centimeters to three significant figures.
  - If there is more than one answer, separate them by a comma.

\[
L_{\text{total}} = \_\_\_\_ \, \text{cm}
\]

---

**Note:** The problem involves applying the principles of Hooke’s law and energy in springs to find the solution.
Transcribed Image Text:### Spring Mechanics Problem **Given Scenario:** An ideal spring of negligible mass is 13.00 cm long when nothing is attached to it. When you hang a 3.55 kg object from it, you measure its length to be 14.40 cm. --- **Part A:** - **Objective:** Determine the total length of the spring to store 10.0 J of potential energy. Assume the spring continues to obey Hooke's law. - **Instructions:** - Express your answer in centimeters to three significant figures. - If there is more than one answer, separate them by a comma. \[ L_{\text{total}} = \_\_\_\_ \, \text{cm} \] --- **Note:** The problem involves applying the principles of Hooke’s law and energy in springs to find the solution.
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