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Work and Energy

Work and Energy

  • Energy is a measure of the cost to perform some action.
  • The SI unit of energy is the Joule:
                                   m^2
                 1 Joule = 1 kg * -----
                                   s^2
    
    One Joule is a very small amount of energy.
  • Work is the energy spent by a force acting through a distance:
                 Work    =  (force) * (distance parallel to force)
    
    or, in general
                 Work    =  (force) * (displacement) * cos(theta)
    
    where theta is the angle between the direction of the force and the displacement.
  • The unit of work is Newtons times meters, which turns out to be the same as Joules.
  • When a force acts in the same direction as displacement, it performs positive work (speeds things up).
  • When a force acts in the direction opposite to displacement, it performs negative work (slows things down).
  • Kinetic energy is another sort of energy, associated with moving objects:
                   KE    = 0.5 * (mass) * (speed)^2
    
  • One can change the kinetic energy of an object by doing work on it:
              work done on object  =   change in kinetic energy
    
                                   =   KE(final)      -    KE(initial)
    
                                                 2                   2
                                   =  0.5 * M * v     -   0.5 * M * v
                                                 f                   i
    
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