解析这道题---【例 1】
**Problem Description:**
如图甲所示,质量 m=1 kg 的小物块 A(可视为质点)放在长 L=4.5 m 的木板 B 的右端。开始时 A、B 两叠加体静止于水平地面上。现用一水平向右的力 F 作用在木板 B 上,通过传感器测出 A、B 两物体的加速度与外力 F 的变化关系如图乙所示。已知 A、B 两物体与地面之间的动摩擦因数相等,且最大静摩擦力等于滑动摩擦力,重力加速度 g 取 10 m/s²。求:
**Diagrams:**
**图甲 (Figure Jia):**
* Type: Schematic diagram of a physical setup.
* Elements:
* A horizontal surface representing the ground.
* A rectangular object labeled 'B' (wooden board) on the ground, length L=4.5 m.
* A smaller rectangular object labeled 'A' (block) on the right end of B, mass m=1 kg.
* A horizontal arrow labeled 'F' pointing to the right, indicating a force applied to the right end of B.
**图乙 (Figure Yi):**
* Type: Line chart (Acceleration vs. Force).
* Axes:
* Vertical axis: Labeled 'a / (m·s⁻²)', representing acceleration.
* Horizontal axis: Labeled 'F / N', representing applied force in Newtons.
* Origin: Labeled 'O' at (0, 0).
* Plot:
* From O to F₀ on the F-axis, the graph is along the F-axis (a=0).
* From F₀ to 9 N, there is a straight line segment sloping upwards.
* From 9 N onwards, there is another straight line segment sloping upwards with a different slope, passing through the point (25, 4).
* Key points marked on the F-axis: F₀, 9, 25.
* Key point marked on the a-axis: 4.
* A dashed horizontal line from a=4 intersects the graph at F=25. A dashed vertical line from F=25 extends to the F-axis. A dashed vertical line from F=9 extends to the F-axis.
**Questions:**
(1) A、B 间的动摩擦因数μ₁; (The kinetic friction coefficient μ₁ between A and B;)
(2) 乙图中 F₀ 的值; (The value of F₀ in Figure Yi;)
(3) 若开始时对 B 施加水平向右的恒力 F=29 N,同时给 A 水平向左的初速度 v₀=4 m/s,则在 t=3 s 时 A 与 B 的左端相距多远。(If initially a constant horizontal force F=29 N pointing to the right is applied to B, and at the same time A is given an initial velocity v₀=4 m/s pointing to the left, how far is A from the left end of B at t=3 s.)