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energy conservation
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The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside. ... The only way to use energy is to transform energy from one form to another.
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If the work done by a force is independent of path,the force is said to be conservative.
If the force acting on the system of particles are conservative , the total energy of the system of a partical which is the sum of the total kinetic energy and the potential energy of the system is conserved
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