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题目如图1所示,轻弹簧的一端固定,另一端与滑块 B 相连,滑块 B 静止在水平导轨上,弹簧处于原长状态,另一质量与 B 相同的滑块 A 从导轨上的 P 点以某一初速度 v_0向 B 滑行,当 A 滑过距离 L_1时,与 B 相碰,碰撞时间极短,碰后 A、B 紧贴着一起运动,但互不粘连,已知最后 A 恰好返回到点 P 并停止.滑块 A、B与导轨之间的滑动摩擦因数都为μ,运动过程中弹簧最大的形变量为 L_2,重力加速度为 g,求 A 从 P 点出发时的初速度 v_0.(A、B 均可视为质点)
The problem is shown in Fig. 1. One end of the light spring is fixed, and the other end is connected with the slider B. The slider B is stationary on the horizontal rail, the spring is in the original long state, and the other one is the same as the slider A from the rail. Point P taxis at a certain initial speed, v_0, to B. When A slides past distance L_1, it collides with B. The collision time is very short. After collision, A and B move close together, but they do not stick together. Known last A Just return to point P and stop. The sliding friction coefficient between sliders A, B and the guide rail are all μ, the maximum deformation of the spring during the movement is L_2, and the acceleration of gravity is g. Find the beginning of A when starting from P point. Speed v_0. (A, B can be regarded as a mass)