# How Do Force Functions Behave Like an Object?

In physics, work is energy that is transferred from an area to another through the application of pressure or force. In its most basic form, this is often described as the product of momentum and force. Work done in one area can be changed over into work done in another area, even when the changes are not visually obvious. The real world example of this is what people call a “workout”, where athletes are continually changing the resistance they are subjected to as they train. In this article, we’ll take a look at some examples of how work is defined, and what factors go into its definition.

The first factor that makes work a component of the force in the direction of change is the initial condition. This can be a constant force acting in the same direction (going up, coming down) or it can be a variable, such as an electric current (in an electrical flow) or a falling block (in an elastic flow). When you start your work out, you have a first-hand account of all the forces acting on you, and they all contribute to your work. However, the value of any one of these components of the force in the direction of change will differ depending on the starting condition.

The second factor that makes work a component of the force in the direction of change is an equation known as the dynamic work equation. This equation was first introduced by George Taylor in 1903. It can be written in two forms, using a scalar and a vector. The scalar is usually referred to as a constant, but the vector can be considered a range, or a representation of the magnitude of the component of the force in the direction of change.

Let’s now define the dynamic work equation using the vector a which represents the position and orientation of the workpiece in motion. Cos(x) are the same as sin(x), where a is a function of time and constant acceleration. Using the definition of sin(x) we can solve for the angle fd at rest. In general, the larger the angle is, the shorter the time taken to move the workpiece from zero to the chosen angle, and the smaller the displacement the longer the time needed.

When working with a machine, you may notice that the output of the machine is proportional to the input measured, as in the case of the mechanical drive. Similarly, the output of the force equation is a function of the input measured, as in the case of the dynamic force. For instance, if we use the displacement of an object to calculate its force, then the output of this force equation is the horizontal displacement of the object. Solving for the angle fd in terms of the function of cos(x), we find that the output of the function is equal to -f cos(x), where -f is the tangent of the displacement at the angle fd.

In summary, when dealing with a force, we can state it in many ways. The displacement, the orientation of the source and its velocity, are all things we can observe. The output, the location of the source at a certain position, is another matter. Force functions, like any other functions, can be solved for using the formula given above. As the reader can see from this short article, force functions do indeed behave somewhat like an object and we can easily see the answer to the question posed in the title.