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本文介绍求物体运动加速度的一种方法,这种方法并不是简单地利用运动学公式,也不是利用牛顿第二定律,而是利用能的转化和守恒关系。我们知道,一个物体由静止开始做匀加速运动,经过路程 s 后,其末速度为 v,则有v~2=2as。据此,如果针对某一个系统的一个运动过程,根据能的转化和守恒关系,建立起一个关系式,并推得 v~2=ks(k 为常数),那么,物体运动的加速度便可获得。这种寻求加速度的间接方法实质上是把求物体运动加速度的问题转化成建立速度和路程关系式的问题。事实证明,这种方法不但可行,而且对于一些复杂的问题,反显得十分简便。以下用实例说明这一方法的应用。
This article describes a method for calculating the acceleration of an object. This method does not simply use kinematic formulas, nor does it use Newton’s second law, but uses the conversion and conservation of energy. We know that an object starts motionlessly and uniformly accelerates. After the distance s, its final velocity is v, then there is v~2=2as. Based on this, if a movement process for a certain system is based on the conversion and conservation relations of energy, a relational formula is established and v2 = ks (k is a constant) is obtained. Then, the acceleration of the object motion can be obtained. . This indirect method of seeking acceleration essentially translates the problem of determining the acceleration of an object into the problem of establishing speed and distance relationships. Facts have proved that this method is not only feasible, but also it is very simple for some complex problems. The following example illustrates the application of this method.