K Question 13 of 32 A spring hangs from the ceiling with an unstretched length of xo = 0.99 m. A m¡ = 9.1 kg block is hung from the %3D spring, causing the spring to stretch to a length X = 1.18 m. Find the length x2 of the spring when a m2 = 3.3 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. m2 X2 = %3D 0.04 m m,

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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**Question 13 of 32**

A spring hangs from the ceiling with an unstretched length of \( x_0 = 0.99 \, \text{m} \). A \( m_1 = 9.1 \, \text{kg} \) block is hung from the spring, causing the spring to stretch to a length \( x_1 = 1.18 \, \text{m} \).

Find the length \( x_2 \) of the spring when a \( m_2 = 3.3 \, \text{kg} \) block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made.

\( x_2 = 0.04 \, \text{m} \)

**Diagram Explanation:**

The diagram consists of three illustrations:

1. **Unstretched Spring**: Shows a spring hanging vertically with no additional weights, marked with length \( x_0 \).

2. **Stretched Spring with \( m_1 \)**: Depicts the spring with a \( m_1 = 9.1 \, \text{kg} \) block hanging from it, stretched to length \( x_1 \).

3. **Stretched Spring with \( m_2 \)**: Illustrates the spring with a \( m_2 = 3.3 \, \text{kg} \) block hanging, which we use to determine the new length \( x_2 \).
Transcribed Image Text:**Question 13 of 32** A spring hangs from the ceiling with an unstretched length of \( x_0 = 0.99 \, \text{m} \). A \( m_1 = 9.1 \, \text{kg} \) block is hung from the spring, causing the spring to stretch to a length \( x_1 = 1.18 \, \text{m} \). Find the length \( x_2 \) of the spring when a \( m_2 = 3.3 \, \text{kg} \) block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. \( x_2 = 0.04 \, \text{m} \) **Diagram Explanation:** The diagram consists of three illustrations: 1. **Unstretched Spring**: Shows a spring hanging vertically with no additional weights, marked with length \( x_0 \). 2. **Stretched Spring with \( m_1 \)**: Depicts the spring with a \( m_1 = 9.1 \, \text{kg} \) block hanging from it, stretched to length \( x_1 \). 3. **Stretched Spring with \( m_2 \)**: Illustrates the spring with a \( m_2 = 3.3 \, \text{kg} \) block hanging, which we use to determine the new length \( x_2 \).
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