If the work done to stretch an ideal spring by 4.0 cm is 6.0 J, what is the spring constant (force constant) of this spring?
A) 7500 N/m
B) 3000 N/m
C) 3500 N/m
D) 300 N/m
E) 6000 N/m

Question

Quizplus · Accepted Answer

The work done on a spring is given by $W = \frac{1}{2}kx^2$, where $W$ is the work done, $k$ is the spring constant, and $x$ is the displacement. Rearranging for $k$, we get $k = \frac{2W}{x^2}$. Substituting $W = 6.0\,J$ and $x = 4.0\,cm = 0.04\,m$, we find $k = \frac{2 \times 6.0}{(0.04)^2} = 7500\,N/m$.

If the Work Done to Stretch an Ideal Spring by 4.0