Elastic and inelastic deformation are two different types of changes in shape that an object can undergo.
Elastic deformation is when an object returns back to its original shape after the forces have been removed.
Inelastic deformation or plastic deformation is when an object doesn't quite return to its original shape and stays deformed in some way.
Extension is the increase in length of a spring when it's stretched.
The spring's own mass exerts a force downwards in the form of weight, causing the natural length to be a bit shorter than the spring itself When it’s on a solid support
The solid support exerts an equal but opposite force upwards, keeping the spring from falling down.
The spring's extension increases proportionally as the force on it increases, which can be represented as f is proportional to e, where f is the force and e is a symbol for extension.
The spring constant, denoted by letter k, tells us how many newtons it would take to stretch the particular object by one meter.
The higher the spring constant, the stiffer the material because it requires more force to stretch it.For example a hosepipe would have a higher spring constant than an elevation band
Hooke's law states that force and extension are directly proportional, represented by a straight line that passes through the origin.
All deformation is elastic deformation, meaning that once the force is removed the object will return to its original shape.
There is a limit to the relationship between force and extension, which is referred to as the elastic limits or the limits of proportionality.
After the elastic limits, Hooke's law no longer applies and the object won't necessarily go back to its original shape, meaning that it would have been inelastically deformed anyway.