牛顿第二定律及万有引力定律是根据实验结果总结出来的。为了探讨从理论上导出这两个定律的可能性，根据能量守恒定律，给出用变维分形方法针对一个实例（小球沿长斜面滚下）导出改进的牛顿第二定律及万有引力定律的方法。具体给出了适用于实例的常维分形结果：改进的万有引力定律F=-GMm / r^1.99989和改进的牛顿第二定律F=ma^1.01458。

Newton's second law and the law of gravity are summarized with experimental results. For discussing the possibility of deriving the two laws theoretically, according to the law of conservation of energy, the method of deriving improved Newton's second law and the law of gravity at one time with variable dimension fractal method is presented for an example (a small ball moves down along a long incline). For the sake of convenience, the results suitable for this example with the constant dimension fractal form are as follows： improved law of gravity F = - GMm/r^1.99989 , and improved Newton's second law F = ma^1.01458.