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