Ways of Calculating Work and Displacement
Work is something which an individual has performed or is doing voluntarily. An example of work would be a job as a plumber. An example of work done casually would be someone having electric work done in their home. Generally speaking the word work has various different meanings depending on the context in which it is used.
A common type of work we hear about is constructive work, which is done by those who are engaged in producing something of use or benefit to others. If we consider construction, then this would fall under the category of constructive work. It is work which has resulted from a combination of two different things, for example building and demolition. This can also be mixed with force or positive work such as cutting.
The term positive work relates to actions that are not productive, but rather, the result of the application of force to an object, idea. An example might be the production of furniture from wood. Now while working on this furniture a producer may apply continuous force to the wood, and each time the wood is finished it is pushed forward by the force. This can be considered to be the result of a continuous act of force exerted upon an object. This kind of work can be considered to be constructive, but only in the mathematical sense, as in the real world, all of these actions are random without any consideration to the eventual end result.
The second type of work we shall consider is the second-order or Constant force acting on an object. This is where an object remains in one-direction only, and no matter how the force acts, it always returns to the original position. It is mathematically defined as the sum of the components of the force in the direction of the motion. For instance, if we take the force of falling water and let us apply it parallel to the surface of the water at a constant velocity, we will find that the resultant force will be in the same direction forever. This is because the distance from the center of the earth to the water’s center is constant and hence will always equal the value of the force on the water.
Another form of Constant force acting is the zero-dimensional displacement. This is where a force acts upon an object in a dimensionless space, such as a vacuum or a spring. The concept of zero-dimensional displacement is not fully understood, but in theory there exists some sort of energy or zero point energy that gives a force equal to the total displacement. To illustrate, imagine when you push on a rubber ball it will push back against you, but you do not have to push the ball with your whole body in order for it to return to its original position. This is because the rubber ball with come to rest at a particular point due to the zero-dimensional displacement, known as a spring or some sort of elastic wave.
When we use the term “Work” we are referring to the act of causing displacement, and if the work done is of the same magnitude then the amount of work done is equal to the displacement that is caused. When we use the term “Direction” we are referring to the path of the displaced force in the given direction. An example would be a person falling down who has his hands raised above his head.