Work done by a Spring - Deriving Elastic Potential Energy

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Previous Video: Introduction to Elastic Potential Energy with Examples

Content Times:
0:00 Demonstration and Example
0:28 Part (a)
2:55 Part (b)
5:30 Elastic Potential Energy
6:18 Graphing Work
7:08 Why the Area is Negative

#APPhysicsC #Work #Integral

[boboganbobogan]

THANK YOU!!! ❤️With the last part of the video, you have cleared up all my confusion about elastic potential energy

[thelookingcat]

Hi Mr P! You're a really great hero to all of us physics 1 students! Thank you for all you do!

Also Billy sounds a bit different today. Is he doing well? 🙂

[lukeLego]

Thanks a lot.. helped me a lot for school examinations

[carultch]

I see two possible interpretations of this problem
1. The mass is guided by a human force, from the unstressed position of the spring (yi) until it comes to rest at the given position (yf) where the spring force and force of gravity are in equilibrium.
2. The mass falls from yi to yf with no forces other than gravity and the spring force. It starts at the unstressed position (yi) of the spring and then falls as far as it can before coming to rest momentarily at the given position (yf). If allowed to continue, the mass would oscillate up and down, with turning points at yi and yf, and a new equilibrium position exactly half way between yi and yf.

Your interpretation was interpretation #1.
If you went by interpretation #2, the spring constant would be 467 N/m, and the work done by the spring would be -0.412J.

[bobbysmith]

This is a great video, but I was also wondering if you could post more videos about AP Physics 2 topics since your AP Physics 1 videos helped me get a 5 on my AP exam. Thanks

[Nitstar]

Hey! I am a big fan of your videos and am watching your AP physics 1 videos at this time. However, I am a bit confused on what type of videos you are making these days. Are you doing preparation for AP mechanics C, AP-2, or just some fun problems? :)

[MrYahya]

Maybe it would've been more straightforward to just go in the direction of the displacement when calculating Work, to avoid getting negative work, especially when work is done on the system and not by the system?

[wowgggearing]

make spring powered car with regenerative brake