A) \[cx_{1}^{2}\]
B) \[\frac{1}{2}cx_{1}^{2}\]
C) \[2\,cx_{1}^{2}\]
D) zero
Correct Answer: B
Solution :
[b] \[W=\int\limits_{0}^{{{x}_{1}}}{F\,dx=\int\limits_{0}^{{{x}_{1}}}{c\,x\,dx=}\left[ \frac{1}{2}c\,{{x}^{2}} \right]\begin{matrix} {{x}_{1}} \\ 0 \\ \end{matrix}}\] \[=\frac{1}{2}c(x\begin{matrix} 2 \\ 1 \\ \end{matrix}-0)=\frac{1}{2}c\,x\begin{matrix} 2 \\ 1 \\ \end{matrix}\]
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