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Conservation of Energy

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					Conservation of Energy (E)




                         J. Gabrielse
                Energy (E)
                  means
               Total Energy



Conservation of Energy (E)




                              J. Gabrielse
Drop a Ball off a Cliff




                          J. Gabrielse
Drop a Ball off a Cliff
        When is the ball moving the fastest?
         at the lowest point *




       * just before it hits the grounds and just after
                                              J. Gabrielse
Drop a Ball off a Cliff
        When is the ball moving the fastest?
         at the lowest point *

        When is the ball moving the slowest?
         at the highest point
          (it has to stop in order to change directions)




                                                J. Gabrielse
Drop a Ball off a Cliff
        When is the ball moving the fastest?
         at the lowest point *

        When is the ball moving the slowest?
         at the highest point

        What is the ball trading for speed?
         height




                                     J. Gabrielse
Conservation of Energy
    Us     Ug      K          E




                         J. Gabrielse
    Conservation of Energy
               Ug      K          E
Gravitational Potential Energy
     Depends on Height




                             J. Gabrielse
Conservation of Energy
           Ug      K          E




  Kinetic Energy
 Depends on Speed
                         J. Gabrielse
   Conservation of Energy
       Us     Ug      K          E




Mechanical Potential Energy
 Depends on Deformation
                            J. Gabrielse
E = Us + Ug + K
 Us     Ug      K        E




                    J. Gabrielse
Total Energy Doesn’t Change
        U s + Ug + K = E




                       J. Gabrielse
  Energy Notes (Continued):


6. Conservation of Energy
   A. E = all the energy in a system
      i. E = U + K + …
   B. E never changes



                                 J. Gabrielse
Conservation of Energy with a
         Pendulum




  When is the pendulum moving the fastest?
                                             J. Gabrielse
Conservation of Energy with a
         Pendulum




  When is the pendulum moving the fastest?
              at the lowest point
                                             J. Gabrielse
  Conservation of Energy with a
           Pendulum




When does the pendulum have the most kinetic energy?
                 at the lowest point
                                                J. Gabrielse
Conservation of Energy with a
         Pendulum




  When does the pendulum have the most
      gravitational potential energy?
           at the highest point
                                         J. Gabrielse
Conservation of Energy with a
         Pendulum
Ug           K           E




                             J. Gabrielse
  Conservation of Energy with a
           Pendulum
  Ug           K           E




Gravitational Potential Energy
     Depends on Height
                               J. Gabrielse
Conservation of Energy with a
         Pendulum
Ug           K           E



      Kinetic Energy
     Depends on Speed

                             J. Gabrielse
     E = Ug + K

Ug      K         E




                      J. Gabrielse
Total Energy Doesn’t Change

  Ug   +    K    =    E




                          J. Gabrielse
           Pendulum Review



            A                           E

                  B               D
                          C

Where is the gravitational potential energy maximum?
Where is the kinetic energy maximum?
Where is the gravitational potential energy minimum?
Where is the kinetic energy minimum?
                                                   J. Gabrielse
  Your Turn

Conservation of
   Energy


           J. Gabrielse

				
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posted:3/1/2012
language:English
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