1. Derivative or Integral
Energy and Calculus
Derivative or Integral

2. Energy and Force Define potential energy as negative Work
dr – is a straight line displacement
Replace with dx or dy accordingly

3. Springs
Modify energy equations for elastic potential energy

4. Path Dependent Work Forces where the work does not depend on the path
Conservative Forces
Non-Conservative Forces
Forces where the work does not depend on the path
Work is the same for all paths
Net Work for a closed path is zero
Ex: Fg
Forces where the work depends on the path
Work is different for multiple paths
Net Work cannot be zero
Ex: Ff

5. Power
Don’t forget that work is a change any type of energy

6. Calculus Practice
150 J 395 N constant speed