Defining Work Intuitively As a Magnitude with Duration - Productive Work and General Work

    It is worthwhile to define work in physics similar to how we define work in an intuitive way.  So, how do we define work in an intuitive way?  
     
    Well, as a human, work obviously depends on the magnitude/difficulty of the task and the duration of the task.  So I propose that in physics work should be generally proportional to a "magnitude" and a "duration".  (The magnitude and duration of work will be defined explicitly below.)
     
    Also, as a human, we realize that by doing work we can accomplish some task.  Now, that can translate into physics to mean that work can cause a change in energy of the system.

    Productive work is generally proportional to force and displacement.  Physicists allow productive work to be *directly* proportional to force and displacement.  Thus, we get the following equation for productive work:
     
>          Wp = f* r

• where Wp is productive work
        r is displacement

(NOTE: The force in productive work is, by definition, always effective.)

   General work is generally proportional to force and time.  We will allow it to be *directly* proportional to force and time.

>          Wg = fw * t

• where Wg is general work
        t is a period of time

    I propose that the unit for general work should be "P", for Prescott, Joule's middle name.  Thus, "one prescott" equals "one newton second".
     
    (I realize that force multiplied by time is called an "impulse" or "action".  However, the term general work is more fitting because it relates to productive work.  Because in a sense, productive work and general work are two sides of the same coin, i.e. two rulers to measure mechanical energy; hence the reason why both units - Joule and Prescott - are two names of the same person.)

    So, productive work depends on force and displacement while general work depends on force and time.  I propose that we now define the "magnitude" of work as "force".  And, when we are considering "displacement" and "time" from the point of view of work we will call them the "duration" of work.

    So, suppose you were being hired for a job; the job requires you to apply a force.  You should be concerned with how much *effort* you'll have to expend applying the force.  That is, you should be asking your employer how much general work you must accomplish to get paid; whether that work is productive or not is meaningless to you, but probably the productiveness of the work is very meaningful to your employer.
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