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Potential Energy Chapter 8 Lecture #1 BY: Dr. Aziz Shawasbkeh Physics Department

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Outline Potential Energy Conservative forces Determining of potential energy Conservation of Mechanical Energy Potential Energy Curves Work done by non-conservative forces Conservation of total energy Mass and Energy

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Potential Energy: The Energy associated with the configuration of a system of objects that exert forces on each other Example: Gravitational Potential Energy. Elastic Potential Energy in a spring. Work and Potential Energy: Throwing Pumpkin up: UiUi UfUf mgd

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Dropping Pumpkin Down: UfUf UiUi mgd

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Elastic Potential Energy:

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Conservative forces a b 1 2 A force F acts on an object The object moves along two different paths If W ab1 = W ab2, Then F is conservative

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The net work done by a conservative force along any closed path is zero W ab1 = W ab2 W ab2 = -W ba2 W ab1 -W ab2 = 0 W ab1 + W ba2 = 0 Closed Path: Conservative force: a b 1 2

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Examples Gravitational Force: W g = mgh h Elastic force:

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Determining Potential Energy: Example: Gravitational Potential Energy

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Take reference point at y i = 0, U i =0, Then Elastic Potential Energy

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Conservation Of Mechanical Energy If forces acting on the body are conservative

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Example: Free falling body h

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Example: At point x= 0 At point x= A

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Chapter 8: Conservation of Energy. In Ch. 7, we learned The Work-Energy Principle: W net = (½)m(v 2 ) 2 - (½)m(v 1 ) 2 K W net ≡ The TOTAL work done.

Chapter 8: Conservation of Energy. In Ch. 7, we learned The Work-Energy Principle: W net = (½)m(v 2 ) 2 - (½)m(v 1 ) 2 K W net ≡ The TOTAL work done.

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