Classical Mechanics
# Potential Energy

An object is at rest on a frictionless surface is attached to the wall by an elastic spring of strength $\SI[per-mode=symbol]{10}{\newton\per\meter}.$

A force of strength $F=40\text{ N}$ pulls the object toward the right.

What is the elastic potential energy of the spring at equilibrium?

$m=4\text{ kg}$ is sliding towards a spring with a speed of $v=6\text{ m/s}$ on a frictionless horizontal floor. If the spring constant is $k=1\text{ N/m},$ what is the maximal change in the spring's length?

In the figure above, an object of mass