Newton's second Law, the law of Gravity and the law of Coulomb with the form of variable dimension fractal
Fu Yuhua · Journal of Dezhou University · 2004
On deriving Newton's second law . the law of gravity and the law of Coulomb with the form of constant dimension fractal theoretically, for free fall movement (center to center movement), the original Newton's second law F=ma, is derived strictly and theoretically, for an example (a small ball moves down along a long incline), the original law of gravity and the original law of Coulomb are derived approximately and theoretically. Based on these, for the example that a small ball moves down along a long incline the more accurate results with the form of variable dimension fractal are as follows, improved Newton's second law: F= ma1+e, e = 8. 779 ×r 10-8 x; improved law of gravity. F = -GMm/r2-δ,δ= 1.206 × -12 x ; improved law of Coulomb :f=kq1q2/r2-δ,δ= 1. 206 × 10 12x; where x equals the horizontal distance of the small ball movement (for the beginning static state,x=0 ). In addition, to the example given in this paper, for the result of five significant digits, the special relativity will give the same result as given by the original Newton's second law.