Potential Energy and Conservative Forces - Gradient Vectors | Physics | Calculus

This physics and calculus video tutorial provides a basic overview into conservative forces, potential energy, and gradient vectors.

Work, Energy, Power - Free Formula Sheet:

Physics PDF Worksheets:

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Work, Energy, and Power - Mega Review:

Kinetic Energy and Potential Energy:

Mechanical Energy:

What Is the Difference - Work Vs Energy?

Work - Dot Product Formula:

Power - Dot Product Formula:

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Work Done by Gravity:

Elastic Potential Energy and Hooke's Law:

Work Required to Compress a Spring:

Conservation of Energy:

Conservative & Nonconservative Forces:

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Homopolar Motor Compilation:

Intro to Momentum:

Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[oliverturner]

If you're a student struggling with the marriage of physics and calculus, this video is your saving grace. The presenter navigates the complex world of potential energy and conservative forces with such simplicity that even those who despise math will find themselves nodding along. It's like a crash course that turns the daunting into the doable.

[lilharambek]

Finals week or my final week?, stay tuned💯‼️😱🗣️

[AngelLambert-tsnc]

This video is a lifesaver for anyone struggling with physics. The explanations are clear, and the connection to calculus makes it easier to grasp. Now, I finally understand the concept of potential energy – a must-watch for physics students!

[kakurocksman]

1. Introduction to Force and Potential Energy (00:00:02)
- Discussing the relationship between force, mass, and acceleration, and the concept of momentum.
2. Newton's Second Law and Momentum (00:00:21)
- Explaining force in terms of the rate of change of momentum with respect to time.
3. Work-Energy Theorem (00:01:40)
- Explaining the work done by conservative and non-conservative forces and its relation to potential energy.
4. Force as the Derivative of Potential Energy (00:02:19)
- Clarifying how force can be derived from the potential energy function with respect to position.
5. Direction of Conservative Forces (00:03:25)
- Describing the effects of conservative forces on potential energy when an object's displacement is parallel or anti-parallel to the force.
6. Practical Examples - Gravity and Springs (00:04:52)
- Using gravity and springs as examples to illustrate changes in potential and kinetic energy.
7. Electrical Potential Energy (00:07:27)
- Explaining potential energy changes in the context of electric charges and forces.
8. Deriving Force from Potential Energy Equations (00:16:49)
- Showing how to derive common force equations from potential energy functions for springs and other forces.
9. Understanding the Gradient and Force (00:29:02)
- Introducing the gradient operation to process partial derivatives with respect to different coordinates.
10. Practice Problem - Force Function Calculation (00:31:10)
- Solving a practice problem on finding the force function from a given potential energy equation.
11. Applying Slopes to Calculate Forces (00:37:59)
- Demonstrating how to use the slopes of potential energy graphs to determine force values at specific points.

had to stop at the 40 min mark

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[noorangadsingh]

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[LifesTrippy-klzh]

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[adebayojoshua]

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[petrichor]

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[physics-on]

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[ahmadddswe_-]

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[_Anna_Nass_]

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[baobaoeight]

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