An ideal spring has a spring constant of 2500 N/m.is stretched 4.0 cm.How much work is required to stretch the spring by 4.0 cm?
A)4.0 J
B)0.00 J
C)1.0 J
D)3.0 J
E)2.0 J

Question

Quizplus · Accepted Answer

The work required to stretch or compress a spring is given by the formula $W = \frac{1}{2}kx^2$, where $W$ is the work done, $k$ is the spring constant, and $x$ is the displacement from the equilibrium position in meters. Here, $k = 2500 \, \text{N/m}$ and $x = 4.0 \, \text{cm} = 0.04 \, \text{m}$. Plugging these values into the formula gives $W = \frac{1}{2} \times 2500 \times (0.04)^2 = 2.0 \, \text{J}$.

An Ideal Spring Has a Spring Constant of 2500 N/m