Elastic Potential Energy in Springs - A Level Physics

This video introduces and explains elastic potential energy in springs for A Level Physics.
Stretch a spring, or a rubber band, and it stores energy. This is because work is done in extending it. This video explains how to calculate the amount of energy that is stored in the elastic potential energy store.
Thanks for watching,
Lewis
This video is recommended for anyone studying A Level Physics in the following exam boards:
AQA
CIE
Edexcel
Edexcel IAL
Eduqas
IB
OCR A
OCR B
WJEC
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[@Inefprag]

My mind was blown because I didn't know the equation E = 1/2 *k* x^2 could be also obtained simply by substituting F. It makes a lot of sense.

[@ALevelPhysicsOnlineYear13]

+Inefprag Glad it helped.

[@Heaven77k]

Hello

[@peshyfreshy]

your really fast and very easy to understand great videos keep up the good work

[@thectheb]

Why is the area under the graph equal to the energy stored??

[@sanjaysojan4341]

@A Level Physics Online! Thanks mate! Great help. Honestly your better than my teacher....

[@PhysicsOnline]

+Sanjay Sojan Thanks

[@MonkOrMan]

I'm watching this out of interest not for a-level.
I'm slightly confused by the notation of _F_ and _x_. I will also refer to _x_ as _d_ from now on because it is distance.
We know that _E = Fd_. The area under a graph is the _x axis * the y axis_. For example on a speed-time graph where the _y_ is speed and the _x_ is time, the area under the graph is distance which is _speed * time_.
It seems to me that the area under the graph in your video is also _the x * the y_ because the area underneath is _E = Fd_. However you said that _E = Fd/2_ because by _F_ you mean the FINAL force applied over the distance rather than the AVERAGE force applied over the distance.
You have now ended up with the equation _E = Fd/2_ even though _E = Fd_ because your definition of _F_ was different. How does this work in physics with the different possible meanings of F and contradictory equations? Is there a way to notate this difference (between final and average force)? By the way I have never learnt calculus and I know this has something to do with integrals so that may be where my confusion is.
To me my way seems more correct because it is done the same way as in a distance time graph, it works for any shape of a graph, and you end up with the correct _E = Fd_ equation.
Thanks for any help!

[@mohammedd2483]

Thanks a lot for all these videos. Really helpful!

[@lykzjrmaf3509]

Thanks very much from Papua New Guinea..
:-)

[@abdurrasheedsadiq7549]

This only applies for the period where the material is obeying Hooke's Law, right? If so, does that mean that using the area under the graph to calculate energy is only applicable before the limit of proportionality?

[@PhysicsOnline]

AbdurRasheed Sadiq You're correct

[@abdurrasheedsadiq7549]

Cool. Thank you :)

[@afiazaman6622]

honestly I love your video but I hate the intro sound its like someones tearing my eardrums apart

[@PhysicsOnline]

Don’t worry, o my videos from the last few years I’ve used a different intro.

[@cubekaraja6844]

You are genius man taught fast and easily!! Understandable 💕

[@cherlynharyono]

i love love love your channel. thank you! 🙏🏼

[@johntindell9591]

what your doing is beyond applaud

[@MrMas9]

Hello; can you please explain why the work done by the spring is not W=Fs? I don't understand why this doesn't apply here.

[@PhysicsOnline]

MrMas9 because the force increases as the spring extends.

[@lemonadepie9631]

you need a pair of forces to stretch a spring. one is the gravitational force, what about the other one? is it the reaction force or a frictional force? where on the spring does the other force act?

[@YesIlikebananasSo]

Tension

[@the_hasnat]

is the energy stored only up to where they are proportional?

[@nevanmasterson46]

Would there be a case where they *aren't* proportional?

[@the_hasnat]

@@nevanmasterson46 things like chewing gum. ALthough they too are proportional to a really small limt.

[@YesIlikebananasSo]

@@nevanmasterson46 after the elastic limit? When it’s not obeying Hookes law?