The discussion clarifies the application of the work formula W = Fd cos(a) versus the integral of force (F) in physics. W = Fd cos(a) is applicable when the force is constant and acts along a straight path, such as pushing an object at a constant speed. Conversely, the integral of F is used when the force varies along the path of integration, such as in scenarios involving changing forces. Examples provided illustrate these distinctions effectively.
PREREQUISITESStudents in physics courses, educators teaching mechanics, and anyone seeking to understand the principles of work and force in physical systems.
It would help if you could give a few examples. Can you post 1-2 of each type of problem? In general you integrate if something is changing along the path of integration. If things are constant along the path (like pushing a block at a constant speed across a floor), then you can just use W=Fd.caspeerrr said:Homework Statement
When do you use W = Fd cos(a) and when do you use the integral of F?
Homework Equations
W = Fd cos(a) Integral of F
The Attempt at a Solution
When doing exercises it seems random to me when I have to use the formule W = fd cos(a) and when I have to use the integral? What is the consistency in this?
Thanks!