A spring that has a spring constant of k = 183.0 N/m is oriented vertically, with one end on the ground. What distance y must the spring compress for an m = 2.43 kg object placed on its upper end to reach equilibrium? y = m By how much AUspring does the potential energy stored in the spring increase during the compression? AUS spring J

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Exercise: Spring Compression and Potential Energy**

**Problem Statement:**
A spring with a spring constant of \( k = 183.0 \, \text{N/m} \) is positioned vertically, with one end placed on the ground. 

**Questions:**

1. **Distance Compression Calculation:**
   
   What distance \( y \) must the spring compress for an object with mass \( m = 2.43 \, \text{kg} \) placed on its upper end to reach equilibrium?
   
   \( y = \underline{\hspace{3cm}} \, \text{m} \)
   
2. **Potential Energy Increase:**

   By how much \( \Delta U_{\text{spring}} \) does the potential energy stored in the spring increase during the compression?
   
   \( \Delta U_{\text{spring}} = \underline{\hspace{3cm}} \, \text{J} \)
Transcribed Image Text:**Educational Exercise: Spring Compression and Potential Energy** **Problem Statement:** A spring with a spring constant of \( k = 183.0 \, \text{N/m} \) is positioned vertically, with one end placed on the ground. **Questions:** 1. **Distance Compression Calculation:** What distance \( y \) must the spring compress for an object with mass \( m = 2.43 \, \text{kg} \) placed on its upper end to reach equilibrium? \( y = \underline{\hspace{3cm}} \, \text{m} \) 2. **Potential Energy Increase:** By how much \( \Delta U_{\text{spring}} \) does the potential energy stored in the spring increase during the compression? \( \Delta U_{\text{spring}} = \underline{\hspace{3cm}} \, \text{J} \)
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