.

Also question is, why is the spring constant negative?

The constant k is called the springconstant and is always a positive number. This means that thespring exerts a force in the negativedirection, that is, it pulls back. When x is negative thenthe minus sign makes F positive.

Furthermore, is restoring force always negative? Since the restoring force is proportional todisplacement from equilibrium, both the magnitude of therestoring force and the acceleration is the greatest at themaximum points of displacement. The negative sign tells usthat the force and acceleration are in the oppositedirection from displacement.

Also question is, why is hookes Law negative?

In Hooke's law, the negative sign on thespring's force means that the force exerted by the spring opposesthe spring's displacement.

Can work done by a force be negative?

Work can be either positive or negative:if the force has a component in the same direction as thedisplacement of the object, the force is doing positivework. If the force has a component in the directionopposite to the displacement, the force does negativework.