Question. Did you see the cases which did not see energy conservation. Why we are not taking potential energy to the system? If the energy is not conserved what we call for that collision?
Yes, there are many cases in which energy is not conserved.
For example a mass placed on an incline which is not frictionless. so the conservation of energy will not be applicable, that is the PE at top of the incline will not be equal to the KE at the bottom. Indeed a certain amount of energy will be dissipated due to friction between the surfaces.
Why we are not taking potential energy to the system?(in which context)
The collision in which energy is not conserved are called as inelastic collisions. The momentum is conserved, but not the energy.
however both energy and momentum are conserved in elastic collision.
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