A block of mass 0.402 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result, the spring is stretched by 0.648 m. Find the spring constant. The block is then pulled down an additional 0.384 m and released from rest. Assuming no damping, what is its period of oscillation? How high above the point of release does the block reach as it oscillates? N/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
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### Spring and Oscillation Problem

#### Problem Statement

A block of mass 0.402 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result, the spring is stretched by 0.648 m. 

1. **Find the spring constant.**  
   - Answer: __________ N/m

The block is then pulled down an additional 0.384 m and released from rest. Assuming no damping, answer the following:

2. **What is its period of oscillation?**  
   - Answer: __________ s

3. **How high above the point of release does the block reach as it oscillates?**  
   - Answer: __________ m

#### Explanation

The exercise involves calculating the spring constant using Hooke’s Law, determining the period of oscillation using the mass and spring constant, and finding the amplitude of the block’s oscillation. The provided blanks are intended for the calculated answers.
Transcribed Image Text:### Spring and Oscillation Problem #### Problem Statement A block of mass 0.402 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result, the spring is stretched by 0.648 m. 1. **Find the spring constant.** - Answer: __________ N/m The block is then pulled down an additional 0.384 m and released from rest. Assuming no damping, answer the following: 2. **What is its period of oscillation?** - Answer: __________ s 3. **How high above the point of release does the block reach as it oscillates?** - Answer: __________ m #### Explanation The exercise involves calculating the spring constant using Hooke’s Law, determining the period of oscillation using the mass and spring constant, and finding the amplitude of the block’s oscillation. The provided blanks are intended for the calculated answers.
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