A21-Lect-9+%5BCompatibility+Mode%5D

# A21-Lect-9+%5BCompatibility+Mode%5D - 2/5/2009 29.2 The...

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2/5/2009 1 29.2 The Potential Energy of Point Charges ¾ The figure shows an object being pushed to the right by an expanding spring ( F= - kx ), where “ k ” is the spring constant. ¾ It is the case of a variable force. ¾ The work done by the spring is: ¾ Connect the work done with the change in potential energy, 2 2 2 1 2 1 i f x x x x sp kx kx xdx k Fdx W f i f i + = = = ( ) = = = f i W U U U sp i f sp 2 2 2 1 2 1 i f kx kx ¾ The potential energy of mass + spring system is: 2 2 1 kx U sp = ¾ The energy diagram for a mass-spring system which is called the “potential-energy curve” is shown in the fig below. ¾ The mechanical energy of this system is divided into kinetic and potential energy. ¾ You can see how the transformation of energy take place b/w the K E and P E as the particle place b/w the K.E and P.E as the particle moves along the potential-energy curve. ¾ The oscillation of the particle is limited between the two turning points x L and x R . ¾ at these points the , mech E U = and . 0 = K

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2/5/2009 2 ± In electricity we apply the same procedure to the interaction between two like point charges “q
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## This note was uploaded on 02/21/2009 for the course PHY A10 taught by Professor Tawfiq during the Fall '08 term at University of Toronto.

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A21-Lect-9+%5BCompatibility+Mode%5D - 2/5/2009 29.2 The...

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