A force of \(10 N\) is applied to a spring of elastic spring constant of \(200 N / m\). Calculate the energy stored in the spring.
A. 2.50J B. \(0.25 J\) C. \(400 J\) D. \(40.0 J\)
Correct Answer: B
Explanation
Given parameters; \(F=10 N\) spring constant \(K=200 N / m\) We require energy stored \(E=\) ? correlating equation,nergy \(=1 / 2 k e^{2}\) and by Hooke's law \(F =k e ; e=f l k\) so that \(\Rightarrow E=\frac{1}{2} K \cdot \frac{F^{2}}{K^{2}}=\frac{1}{2} \frac{F^{2}}{K}\) \(E=\frac{1}{2} \times \frac{10^{2}}{200^{2}}=\frac{1}{2} \times \frac{100}{200}\) \(E=0.25 J\).