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J. Gabrielse Conservation of Energy (E)
J. Gabrielse
Conservation of Energy (E)
J. Gabrielse
Conservation of Energy (E)
Energy (E) means
Total Energy
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?
When is the ball moving the slowest?
What is the ball trading for speed?
at the highest point
at the lowest point *
height
J. Gabrielse
Us
Conservation of EnergyUg K E
J. Gabrielse
J. Gabrielse
Ug K EConservation of Energy
Gravitational Potential Energy Depends on Height
J. Gabrielse
J. Gabrielse
Ug K E
Kinetic Energy Depends on Speed
Conservation of Energy
J. Gabrielse
J. Gabrielse
Ug K E
Mechanical Potential Energy Depends on Deformation
Conservation of Energy
J. Gabrielse
Us
J. Gabrielse
Ug K EE = Us + Ug + K
J. Gabrielse
Us
J. Gabrielse
Ug K ETotal Energy Doesn’t Change
+ =
J. Gabrielse
Us +
J. Gabrielse
Energy Notes (Continued):
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
E
Conservation of Energy with a Pendulum
KUg
J. Gabrielse
E
Conservation of Energy with a Pendulum
KUg
Gravitational Potential Energy Depends on Height
J. Gabrielse
EUg
Kinetic Energy Depends on Speed
Conservation of Energy with a Pendulum
K
J. Gabrielse
EKUg
E = Ug + K
J. Gabrielse
EKUg
Total Energy Doesn’t Change
+ =
J. Gabrielse
A E
DC
B
Pendulum Review
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
