When a load of \(14 \mathrm{~g}\) was hung on a spring. an extension of \(1.1 \mathrm{~cm}\) was recordeD. Determine the length of the spring if the load is replaced with a load twice as heavy, take the original length of the spring as \(55 \mathrm{~cm}\) and assume that Hooke's law is obeyed ____________
A. \(2.2 \mathrm{~cm}\) B. \(57.2 \mathrm{~cm}\) C. \(56.1 \mathrm{~cm}\) D. \(70.4 \mathrm{~cm}\)
Correct Answer: B
Explanation
\begin{array}{l} \mathrm{F}=\mathrm{ke} \\ \mathrm{e}_1=1.1 \mathrm{~cm} \end{array} Since the load is doubled, the extension will be doubled. Then \(\mathrm{e}_2=2.2 \mathrm{~cm}\) \begin{aligned} \mathrm{L}_2 &=\mathrm{L}_0+\mathrm{e}_2 \\ &=55 \mathrm{~cm}+2.2 \mathrm{~cm} \\ &=57.2 \mathrm{~cm} \end{aligned}
