Hey guys , can we find the slope for the conservation of energy ?

if y was kinetic energy, potential energy and the total energy , and x was delta h.

can we find the slope ?

So far I think that we can't , correct me if I'm wrong , please.

To make it more clear , I graphed delta h as x and Te,Pe,Ke as y , so it's three graphs , could I possibly find delta y/delta x ?

and how so ?

Question

Hey guys , can we find the slope for the conservation of energy ?

if y was kinetic energy, potential energy and the total energy , and x was delta h.

can we find the slope ?

So far I think that we can't , correct me if I'm wrong , please. 

To make it more clear , I graphed delta h as x and Te,Pe,Ke as y , so it's three graphs , could I possibly find delta y/delta x ?

and how so ?

anonymous · Answer

the slope of each individual graph can be found.

calculus is the best way to find it.

if you have the function of the graph [which can be found using excel], taking the derivative by hand will give you the slope function

anonymous · Answer

Thanks man , what you're saying is that I could find it by taking two points from each graph so we'll get three slopes ? for ke,te and pe ?

anonymous · Answer

Sorry I forgot to mention what got me thinking is that our prof said that there's no slope for this one ?

doc.brown · Answer

What is h?

anonymous · Answer

height

doc.brown · Answer

Kinetic energy and potential energy are linearly independent.  They have their own vectors in n space.  Total energy is linearly dependent as you can find it through scalars of KE and PE.  Namely (1, -1).

anonymous · Answer

so we could just find ke and pe by taking two points and calculating delta y/delta x ?  and how could we find te ?

doc.brown · Answer

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anonymous · Answer

Thank you sir, you helped me a lot ^^

doc.brown · Answer

Wait a sec... as PE goes down... um

doc.brown · Answer

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doc.brown · Answer

here the rise is h and the run is KE+PE