Conservation of Energy - Mechanics

Mechanics

In mechanics, conservation of energy is usually stated as

where T is kinetic and V potential energy.

For this particular form to be valid, the following must be true:

  • The system is scleronomous (neither kinetic nor potential energy are explicit functions of time)
  • The potential energy doesn't depend on velocities.
  • The kinetic energy is a quadratic form with regard to velocities.
  • The total energy E depends on the motion of the frame of reference (and it turns out that it is minimum for the center of mass frame).

Read more about this topic:  Conservation Of Energy

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