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The conservation of energy equation for a spring system is:

( frac12kx2 frac12mv2 frac12kA2 )

where:

  • ( k ) is the spring constant
  • ( x ) is the displacement from equilibrium
  • ( m ) is the mass of the object attached to the spring
  • ( v ) is the velocity of the object
  • ( A ) is the amplitude of the oscillation
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Related Questions

What is the energy loss equation and how does it relate to the conservation of energy principle?

The energy loss equation states that the total energy input into a system is equal to the energy output plus any energy lost as heat or other forms. This equation relates to the conservation of energy principle, which states that energy cannot be created or destroyed, only transferred or transformed. By accounting for energy losses, we can ensure that the total energy in a system remains constant, in line with the conservation of energy principle.


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Conservation of mechanical energy is valid in situations where only conservative forces are acting on the system, such as gravitational or spring forces. Non-conservative forces, like friction or air resistance, can cause mechanical energy to be lost from the system, making conservation of energy invalid. Additionally, the system must be isolated from external influences for conservation of mechanical energy to hold true.


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