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在如图1所示的水平轨道中,AC段的中点B的正上方有一探测器,C处有一竖直挡板。物体P_1沿轨道向右以速度v_1与静止在A点的物体P_2碰撞,并接合成复合体P。以此碰撞时刻为计时零点,探测器只在t_1=2 s至t_2=4 s内工作。已知P_1、P_2的质量都为m=1 kg,P与A、C间的动摩擦因数为μ=0.1,AB段长L=4 m,g取10 m/s~2,P_1、P_2和P均视为质点,P与挡板的碰撞为弹性碰撞。(1)若v_1=6 m/s,求P_1、P_2碰后瞬间的速度大小v和碰撞损失的动能ΔE;(2)若P与挡板碰后,能在探测器的工作时间内通过B点,求v_1的取值范围和P向左经过A点时的
In the horizontal track shown in FIG. 1, there is a detector directly above the midpoint B of the AC section, and there is a vertical baffle at C. The object P_1 collides with the object P_2 resting at the point A at the speed v_1 to the right along the track and is joined to the complex P. With this collision time as the timing zero, the detector operates only during t_1=2 s to t_2=4 s. It is known that the mass of P_1 and P_2 is m=1 kg, the dynamic friction coefficient between P and A and C is μ=0.1, the length of AB segment is L=4 m, g is 10 m/s~2, P_1, P_2 and P. Both are treated as particles, and the collision of P with the baffle is an elastic collision. (1) If v_1 = 6 m/s, find the instantaneous velocity v and collision kinetic energy ΔE after P_1 and P_2 collisions; (2) If P and the baffle touch, it can pass through the detector during working hours. Point, find the value range of v_1 and P to the left when passing A