How much work is required to stretch an ideal spring of spring constant 40 N/m from x = 0.20 m to x = 0.25 m if the unstretched position is at x = 0.00 m?
A)0.45 J
B)0.80 J
C)1.3 J
D)0.050 J

Question

Quizplus · Accepted Answer

The work required to stretch or compress a spring can be calculated using the formula $ W = \frac{1}{2} k (x_f^2 - x_i^2) $, where $W$ is the work done, $k$ is the spring constant, $x_f$ is the final position, and $x_i$ is the initial position. Plugging in the given values, $ W = \frac{1}{2} \times 40 \times (0.25^2 - 0.20^2) = 0.45 $ J.

How Much Work Is Required to Stretch an Ideal Spring