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Data Table for Part A – The Elongation of a Spring Initial Equilibrium Position Mass Weight Оn Hanger W [N] Equilibrium On Hanger m [kg] Position Elongation xı Im] x=X1 - Xo [m] 0.1 0.98 0.46-0.3 =0.16 2 0.2 1.96 0.57-0.3= 0.27 0.3 2.94 0.73-0.3= 0.43 4 0.4 3.92 0.82-0.3= 0.52 5 0.5 4.9 0.96-0.3 =0.66 Graph's Slope Spring Constant k

Data Table for Part A – The Elongation of a Spring Initial Equilibrium Position Mass Weight Оn Hanger W [N] Equilibrium On Hanger m [kg] Position Elongation xı Im] x=X1 - Xo [m] 0.1 0.98 0.46-0.3 =0.16 2 0.2 1.96 0.57-0.3= 0.27 0.3 2.94 0.73-0.3= 0.43 4 0.4 3.92 0.82-0.3= 0.52 5 0.5 4.9 0.96-0.3 =0.66 Graph's Slope Spring Constant k

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**Data Table for Part A – The Elongation of a Spring** **Initial Equilibrium Position** - \( x_0 \): [Value not visible] m | Mass on Hanger (m [kg]) | Weight on Hanger (W [N]) | Equilibrium Position (\( x_1 \) [m]) | Elongation (\( x = x_1 - x_0 \) [m]) | |-------------------------|--------------------------|-------------------------------------|--------------------------------------| | 0.1 | 0.98 | 0.46 | 0.16 | | 0.2 | 1.96 | 0.57 | 0.27 | | 0.3 | 2.94 | 0.73 | 0.43 | | 0.4 | 3.92 | 0.82 | 0.52 | | 0.5 | 4.9 | 0.96 | 0.66 | - **Graph’s Slope**: [Value not visible] - **Spring Constant (k)**: [Value not visible] **Explanation:** The table reflects the relationship between the mass added to a spring and the resulting elongation. As mass increases, weight increases, and the spring stretches further from its initial equilibrium position. The elongation (\( x \)) is calculated by subtracting the initial position (\( x_0 \)) from the equilibrium position (\( x_1 \)). The spring constant \( k \) and the graph's slope are key parameters, typically indicating the spring's stiffness in Hooke’s Law applications.
Transcribed Image Text:**Data Table for Part A – The Elongation of a Spring** **Initial Equilibrium Position** - \( x_0 \): [Value not visible] m | Mass on Hanger (m [kg]) | Weight on Hanger (W [N]) | Equilibrium Position (\( x_1 \) [m]) | Elongation (\( x = x_1 - x_0 \) [m]) | |-------------------------|--------------------------|-------------------------------------|--------------------------------------| | 0.1 | 0.98 | 0.46 | 0.16 | | 0.2 | 1.96 | 0.57 | 0.27 | | 0.3 | 2.94 | 0.73 | 0.43 | | 0.4 | 3.92 | 0.82 | 0.52 | | 0.5 | 4.9 | 0.96 | 0.66 | - **Graph’s Slope**: [Value not visible] - **Spring Constant (k)**: [Value not visible] **Explanation:** The table reflects the relationship between the mass added to a spring and the resulting elongation. As mass increases, weight increases, and the spring stretches further from its initial equilibrium position. The elongation (\( x \)) is calculated by subtracting the initial position (\( x_0 \)) from the equilibrium position (\( x_1 \)). The spring constant \( k \) and the graph's slope are key parameters, typically indicating the spring's stiffness in Hooke’s Law applications.
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