Why is work=F*d? Derrive without using kinetic energy = square

Isnt work just defined to be dW=Fdr?

>>8566105
for some processes yes.

>>8566103
For a conservative force it is the - gradient of the potential. Literally calc 3

Well, you get that kinetic energy formula from using the definition of work. Work is a definition. Do we need to derive it? Why and from what?

>>8566103
>not understanding potential functions
>not understanding calc 3
>not understanding force as a mapping from R3 to R3

maximum pleb

>>8566139
>forces are all functions of position
>not being a master of quantum electrodyamic fuzzy generalized potentials dependent on the velocity of the observers big toe

>>8566103
It's by definition.
W = int(f dr)
(No latex from phone)
In your specific case, the force is constant along the whole path, and therefor the integral can be simplified.

>>8566180
>(No latex from phone)
No you're just too lazy.
[eqn]W = \int \vec{F} \; dr[/eqn]

>>8566204
That formula is wrong. You have a vector on one side and a scalar on the other.

>>8566180

I'm sure OP is grateful you did his homework for him.

>>8566208
>implying there isnt a hypothetical dot product from the integral

>>8566208
I doubt faggot OP knows what a line integral is.

>>8566150
>21 century
>doing anything in STEM other than generalizing as statistic and linear algebra

this is all there is

>>8566303
A "Dark" dot product, if you will.

>>8566303
>Implying the dr isn't a vector just because it doesn't conform to the same vector notation used by the rest of the formula

>>8566474
So what's your point? That doesn't make the equation any less wrong.

Op here, I don't know integrals and calc.

>>8566971
You will not understand the origin of the equations you encounter in basic physics without calc.

This is why the "algebra-based" physics meme needs to die.

>>8566859
It doesn't help that you have autism.

>>8566980
>"algebra-based" physics meme needs to die
https://en.wikipedia.org/wiki/Particle_physics_and_representation_theory
Says the undergrad.

>>8566208
[math]W = \int \vec{F} \cdot d\vec{r} [/math]

>>8566208
No there isnt. You have the magnitude of the force times the distance equal the work (scalar)

>>8566835
Kek

>>8567150
You know what I meant.

By definition?

>>8567151
beautiful. Now replace the equality with := and /thread