Definitions

• Energy cannot be created or destroyed, only transformed into one type or another

  The Law of Conservation of Energy
• The rate of which energy is transformed or work is done

  Power
• When a spring is stretched, the force increases linearly with the size of the stretch

  Hooke’s Law
• Change in energy

  Work
• Stored energy

  Potential Energy
• Energy of motion

  Kinetic Energy
• If there only conservative forces (such as gravity or elastic) then the

  total initial energy is equal to the total final energy
• Non-conservative forces (such as friction, applied force and tension) can be used to add or remove energy to/from an object. Thus, if there is work involved (i.e. a loss of energy or energy added to the system) then:
• Finds the size (magnitude) of the product of two vectors in the same direction

  Dot Product
• a x b = c results is a vector

  Cross product
• a · b = c results is a scalar

  Dot Product
• 3 requirements of Work:

  • Force
  • Displacement
  • The force & displacement must be parallel
• Work is the dot product of force and displacement