The law of energy conservation states that, in a closed system, the amount of energy never changes. It stems from the classical physics principle that, while energy can be converted from one form to another (from kinetic energy (motion) to thermal energy (heat), for example) energy can neither be created nor destroyed.
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Since the different forms of energy are interchangable (kinetic to heat, for example), there is no law of conservation of mechanical energy as such. But in a hypothetical system without friction, air resistance, chemical reactions, etc, mechanical energy could be conserved.
Mechanical energy is conserved under some specific circumstances; basically when there is no friction. However, in most real-world circumstances there IS friction, part of the mechanical energy gets converted into other forms of energy (mainly heat), and mechanical energy is NOT conserved.
This simply means that, as long as no mechanical energy is wasted or converted to other types of energy (and no other type of energy to mechanical energy), the total amount of mechanical energy doesn't change. Mechanical energy refers to the sum of kinetic and potential energy. Since energy losses and energy conversions do occur, this is not really a "law". In other words, the law of conservation of energy has not been known to be violated; conservation of mechanical energy is very easily violated.
The law of conservation of energy states that the total energy in the universe is a constant and will remain so for example ( x=y+z ). conservation of energy has to do with reducing the amount of energy used through reduced activity and/or increased efficiency in the performance of a particular task.
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The law of conservation of energy states that all energy in the universe is conserved. It can not be created nor destroyed, but it can be interchanged between mechanical and non-mechanical energy.
Conservation of mechanical energy means that the total mechanical energy doesn't increase or decrease over time.Note that in real systems, some mechanical will always be lost due to friction.
Mechanical Energy
-Thermal energy and mechanical energy are the sum of potential and kinetic energy.-They can change to another form of energy.-They can't be created or destroyed due to the law of conservation of energy.
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•The conservation of mechanical energy is a principle which states that under certain conditions, the total mechanical energy of a system is constant. This rule does not hold when mechanical energy is converted to other forms, such as chemical, nuclear, or electromagnetic.
The law of Conversation of Energy
Scientists call this law the law of conservation of matter