# 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

Conservation of
Energy

J. Gabrielse

```
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 views: 10 posted: 3/1/2012 language: English pages: 24