1. Conservation of Kinetic Energy
Work-Energy Theorem
Work-Energy Diagram

2. Conservation of Kinetic Energy
If no work is done on an object, its kinetic energy does not change.
THIS IS ONLY TRUE WHEN THERE IS NO WORK BEING DONE!
Total work equals zero only if…
There is no net force on the object or ...
The net force and infinitesimal displacement are perpendicular to each other.

3. Examples of Conservation of Kinetic Energy
THIS IS ONLY TRUE WHEN THERE IS NO WORK BEING DONE!
Total work equals zero only if…
There is no net force on the object or …
The net force and infinitesimal displacement are perpendicular to each other.

4. Work- Energy Theorem
If there is work done on an object, then the change in kinetic energy is equal to the work done.

5. Work and Energy
Work and energy are calculated from simple equations

6. Work- Energy Theorem

7. Work-Energy Diagrams 0.5 J 2 J 1.5 J Work K initial K final
The work is equal to the change in the kinetic energy of the system
Work
K initial
K final
0.5 J
2 J
1.5 J
Kinetic Energy
Total Work

8. Work- Energy Theorem
In terms of potential energy, we have

9. Including Potential Energy
The total work done on a systems is ALWAYS equal to the change in its kinetic energy
Work-Energy Theorem

10. Work-Energy Diagrams 0.5 J 1.0 J 2.0 J -1.0 J 1.5 J -0.5 J Work
The nonconservative work is equal to the change in the total energy of the system
Work
K initial
U initial
K final
U final
0.5 J
1.0 J
2.0 J
-1.0 J
Total Energy
1.5 J
-0.5 J
Initial
Final
Kinetic Energy
Potential Energy
Total Energy
Nonconservative Work