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Work and Elastic Potential Energy. Work. Applying a force over a distance. W = F  ∆x The force can’t be zero. The distance can’t be zero. Three Cases. Force Parallel to Motion Speeds it up Increases Energy Positive work Force Anti-Parallel to Motion Slows it down

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Presentation Transcript
slide2
Work
  • Applying a force over a distance.
  • W = F∆x

The force can’t be zero.

The distance can’t be zero.

three cases
Three Cases
  • Force Parallel to Motion
    • Speeds it up
    • Increases Energy
    • Positive work
  • Force Anti-Parallel to Motion
    • Slows it down
    • Decreases Kinetic Energy

– Negative work

  • Force Perpendicular to Motion
    • Neither slows it down nor speeds it up.
    • Doesn’t change Kinetic Energy
    • Zero Work
work of a spring
Work of a Spring
  • F = k∆x
  • W = F∆x
  • What is the force?
work of a spring5
Work of a Spring

Work = Fave∆x = ½ k∆x*∆x = ½ kx2

fundamental theorem
Fundamental Theorem
  • ΣW = ∆K
    • The sum of all work equals the change in Kinetic Energy.
    • Review HW Problems
  • Check in:

A car of mass 1000 kg goes from a speed of 10 m/s to a speed of 20 m/s. How much work was done on the car?

  • 150,000 J
work and potential energy
Work and Potential Energy
  • Work you do against gravity or against a spring is not lost but stored as potential energy.
  • The amount of work you do is the amount of energy stored.
  • For gravity your work is F*∆x = mg∆h
  • What is the effect of the direction of the force compared to the direction of the motion?
  • For a spring, your work is ½ kx2
  • Us = ½ kx2
  • Try problem 5 and 6 from the energy conservation worksheet.