A 120 g mass is attached to a spring with constant 20 N/m, as shown below. Assume the surface is frictionless. If the mass is pulled back 15 cm from the equilibrium position and then released, find the speed of the mass after it has moved 5 cm.

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Transcription for Educational Website

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**Problem Statement:**

A 120 g mass is attached to a spring with a constant of 20 N/m, as shown below. Assume the surface is frictionless. If the mass is pulled back 15 cm from the equilibrium position and then released, find the speed of the mass after it has moved 5 cm.

**Diagram Explanation:**

The diagram depicts a mass attached to a spring. The spring is compressed, indicated by the coiled section, and connected to a block on a horizontal surface. The point labeled "0" represents the equilibrium position of the spring (where it is neither compressed nor stretched). An arrow alongside the horizontal axis, labeled "x," indicates the direction of motion.

**Answer Options:**

A. 1.429 m/s  
B. 1.600 m/s  
C. 1.559 m/s  
D. 1.430 m/s  
E. 1.417 m/s  
F. 1.443 m/s  

--- 

**Note:** This problem involves basic principles of energy conservation in spring systems, requiring an understanding of potential energy in springs and kinetic energy transformations.
Transcribed Image Text:### Transcription for Educational Website --- **Problem Statement:** A 120 g mass is attached to a spring with a constant of 20 N/m, as shown below. Assume the surface is frictionless. If the mass is pulled back 15 cm from the equilibrium position and then released, find the speed of the mass after it has moved 5 cm. **Diagram Explanation:** The diagram depicts a mass attached to a spring. The spring is compressed, indicated by the coiled section, and connected to a block on a horizontal surface. The point labeled "0" represents the equilibrium position of the spring (where it is neither compressed nor stretched). An arrow alongside the horizontal axis, labeled "x," indicates the direction of motion. **Answer Options:** A. 1.429 m/s B. 1.600 m/s C. 1.559 m/s D. 1.430 m/s E. 1.417 m/s F. 1.443 m/s --- **Note:** This problem involves basic principles of energy conservation in spring systems, requiring an understanding of potential energy in springs and kinetic energy transformations.
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