摘要
两辆相向匀速运动的车之间有一只小鸟,在两车间来回飞行.小鸟运动速率比车的要大,其初始位置是x0.当两车最终相遇时,相遇位置就是小鸟的最终位置.现在逆向演示(回放)该过程,即小鸟从两辆车相遇位置出发而两车作相背运动.当两车回到它们的初始位置时,小鸟将回到x0点.然而,在正过程中,由于两车相遇位置(即小鸟的最终位置)实际上和小鸟的初始位置无关,因此在逆过程中,小鸟最终可以处在任意位置而未必回到x0点.由此产生悖论,称做“广义芝诺悖论”.通过建立适当的物理模型,利用运动定律,分析并最终解决了这个悖论问题.
The general Zeno paradox refers to a bird flying back and forth between two face-to-face moving carts. The bird is finally located at the position where the two carts meet, and this final position is independent of where the bird initially is. Hence, it is concluded that for its reversed course, i.e. the bird starts moving in its final position while the two carts go in a back-to-back way, the bird would not necessarily return back to its initial position at the end. In this work, we analyzed this paradox related process by building physical models based on the motion laws, and solved this problem.
出处
《大学物理》
北大核心
2006年第5期56-59,共4页
College Physics
