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

Question

Quizplus · Accepted Answer

The work required to stretch or compress a spring can be calculated using 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. Given $k = 2500 \, \text{N/m}$ and $x = 4.0 \, \text{cm} = 0.04 \, \text{m}$, the work done is $W = \frac{1}{2} \times 2500 \times (0.04)^2 = 2.0 \, \text{J}$.

An Ideal Spring Has a Spring Constant (Force Constant) of 2500