It is demonstrated that the work-energy principle and the law of conservation of mechanical energy with external potential energy are not necessary because they are not true in general cases and contrary to common sense .It is pointed out that the work-energy principle should be replaced by the theorem of mechanical energy , and that the law of conservation of mechanical energy is the form of the law of conservation and conversion of energy in the mechanics , it is also an independent law of mechanics rather than a inference of the work-energy principle .%阐述了引入外势能质点系的“功能原理”和机械能守恒定律在一般情况下不成立,而且有悖常识,没有存在的必要;并进一步指出质点系的“功能原理”应改为质点系的机械能定理,质点系的机械能守恒定律是力学中的能量转化与守恒定律,是力学中一条独立定律,而不是“功能原理”的推论。
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