Question

According to Hooke’s Law, a spring which is stretched or compressed beyond its resting length exerts a force Fr in the direction of its rest length. The magnitude of the force is proportional to the directed distance s that the spring has been compressed or stretched: Fr = −ks, where k is the spring constant. Our spring exerts a 50 N force when extended 2 m beyond rest length; we hang the spring from an overhead beam with a 50 kg object attached, and drop the object from the spring’s rest length. Determine the velocity of the up-and-down motion of the hanging object as a function of x, its dis