Deriving the Work-Energy Theorem using Calculus

0:00 Intro
0:21 The integral definition of work
1:02 Net Work
1:53 Substituting in for acceleration
2:40 Dealing with dv/dt
3:26 Changing the limits
3:50 Substituting in velocity
4:32 Taking the integral
4:56 Kinetic Energy!
5:16 The Theorem
5:42 Other energy equations
6:46 When can we use this equation?

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[Jacob.Peyser]

Just making an observation. The 'Net Work-Kinetic Energy Theorem' does indeed have one underlying assumption. That being the mass/inertia being constant. An example where the 'Net Work-Kinetic Energy Theorem' fails (due to this assumption) is in rocket mechanics because such systems' masses change with time.

[fadyjabbar]

You're a great teacher and a great actor. Thank you for making these videos!

[funstudio]

wow. that was beautifully explained. thanks a lot

[pasqualemleonejr.]

I have the same proof in my physics textbook for class but seeing you explain it so eloquently helped me easily understand it.

[SofiaFlores-hz]

enthusiastic and explains things clearly....my king

[rahul]

Great explaination...Thanks, admire your work a lot !

[ptyptypty]

what a PERFECT video from Beginning to End!!... now give the kid his Two Bucks!! lol.. funny!!!!.. You are an Excellent Presenter AND TEACHER!!.. you're one of the RARE ones in this World of Youtube Videos.. THANK YOU!!.. you make me want to work this Derivation again .. but this time I'll substitute Force = dP/dt... change in Momentum... that should work too.. :) ...

[HarshRathore-niwz]

Sir you helped thanx alot
Sir you are great
You explained it very well
You are my Newton

[AdamGhatta]

6:58 when you derived the work-energy theorem, didn't you technically make the assumption that the mass was constant?
So the theorem would not apply in the form you stated?

[divyanshveersingh]

How does this person not have aa million susbcribers

[ShoaibRashdi]

Thanks! It was super helpful, I was given to prove that work equals change in kinetic energy in last year's exam and I somehow managed to do it without Calculus.

[nehalbansal]

6:50 sir, would it be wrong to say that we assumed mass to be constant and hence thus equation is not applicable for variable mas systems such as rockets??

[diagonal]

you have no idea how much clicked in my head whilst watching this 8min video thank you so much man

[flashreality]

I wish my maths and chemistry teacher was as cheerful as this guy!!!

[ui]

😊wow Nice explain. Much obliged!! from Sri Lanka ❤

[kevin-jvhu]

Hey, great video! I saw one of your other videos where you go over how long it takes to make one of these type of videos. It's a lot of work! Maybe you should try making some videos without all the edits so it would save you a lot of time and you could add more content. Also if you made physics caluclus based videos, it would target a lot of college students like myself. And there is no real established physics person on youtube like there is for math. Patrickjmt and ProfessorLeonard are my favorites for math. Thanks for the great teaching you have provided me!

[kadirhfzglu]

i am really looking forward to your answer

[helawn]

amazing!! i've been wondering where KE comes from!

[rachelc.]

I gotta watch all of these and take notes by Wednesday

[alex_ramjiawan]

Could you perhaps do one deriving the work done by a non-conservative force formula?