Question

Consider the force exerted by a spring that obeys hooke's law. find u(xf−u(x0=−∫xfx0f⃗ s⋅ds⃗ ,

Answer 1

$W = \int\limits^b_a { \vec F} \, \vec ds \\ W = \int\limits^b_a {kx} \, dx \\ W = \frac{1}{2} k x^{2}\Big|_a^b$