(Solved): alot of the previous answers have been wrong on this problem. can you help me undstand how to get th ...

Assume a spring has a spring constant \( k_{l}=420 \mathrm{~N} / \mathrm{m} \) as the spring is stretched from \( x=0 \) to \( x_{l}=33 \mathrm{~cm} \). The spring constant then changes to \( \mathrm{k}_{2}=330 \mathrm{~N} / \mathrm{m} \) as the spring is stretched to \( x_{2}=63 \mathrm{~cm} \). From \( x_{2}=63 \mathrm{~cm} \) to \( x_{3}=8 I \mathrm{~cm} \) the spring force is constant at \( F_{1}=130 \mathrm{~N} \). \( 20 \% \) Part (a) Which of the following graphs represents the force on the spring as a function of displacement? \( \checkmark \) Correct! A \( 20 \% \) Part (b) Use the area under the curve to calculate the work, in joules, necessary to stretch the spring from \( x=0 \) to \( x_{2} \) \( 820 \% \) Part (c) Write an equation for the work done in stretching the spring from \( x_{1} \) to \( x_{2} \). \( W_{1 \rightarrow 2}=1 / 2 \mathrm{k}_{2}\left(\left(\mathrm{x}_{2}^{2}\right) \cdot\left(\mathrm{x}_{1}^{2}\right)\right) \quad \) XAitempt Remain @ \( 20 \% \) Part (d) Calculate the work done, in joules, in stretching the spring from \( x_{1} \) to \( x_{2} \). A \( 20 \% \) Part (e) Calculate the work, in joules, necessary to stretch the spring from \( x=0 \) to \( x_{3} \).