Question

Help with derivation potential energy spring

Answer 1

\[F = -kx\]
\[\int\limits F dx = \int\limits -kx\]
\[Fx = -0.5 * k * x^2\]

How do i get rid of the minus?

Answer 2

Because by definition
\(PE=-\int\limits F dx \)

Answer 3

we can draw a sping