详细讲解这道题---**Question Stem:**
如图所示, 固定斜面AB、CD与竖直光滑圆弧BC相切于B、C点, 两斜面的倾角θ=37°, 圆弧BC半径R=2m. 一质量m=1kg的小滑块 (视为质点) 从斜面AB上的P点由静止沿斜面下滑, 经圆弧BC冲上斜面CD. 已知P点与斜面底端B间的距离L1=6m, 滑块与两斜面间的动摩擦因数均为μ=0.25, g=10m/s². 求:
**Sub-questions:**
(1) 小滑块第1次经过圆弧最低点E时的速率;
(2) 小滑块第1次滑上斜面CD时能够到达的最高点Q (图中未标出) 距C点的距离;
(3) 小滑块从静止开始下滑到第8次到达B点的过程中在斜面AB上运动通过的总路程.
**Given Information:**
- Inclination angle of slopes AB and CD: θ = 37°
- Radius of circular arc BC: R = 2m
- Mass of the small block: m = 1kg
- Distance between point P and point B on slope AB: L1 = 6m
- Coefficient of kinetic friction between the block and both slopes: μ = 0.25
- Acceleration due to gravity: g = 10m/s²
**Chart/Diagram Description:**
* **Type:** Schematic diagram showing a path with two inclined planes connected by a circular arc.
* **Main Elements:**
* **Points:** Labeled points A, P, B, E, C, D, O.
* **Lines:**
* Line segment AB: Represents an inclined plane (left slope).
* Line segment CD: Represents an inclined plane (right slope).
* Curved arc BC: Represents a vertical smooth circular arc connecting the two slopes.
* Dashed line segments OB and OC: Radii of the circular arc, connecting the center O to points B and C.
* Dashed line segment OE: Radius of the circular arc, connecting the center O to the lowest point E on the arc.
* Dashed horizontal lines at B and C: Indicate the tangent to the circular arc at these points, and the angles of the inclined planes.
* Arrow labeled P on slope AB: Indicates the starting point of the block.
* **Shapes:** The path is composed of two straight segments (slopes) and one curved segment (circular arc).
* **Coordinate Axes:** Not explicitly shown, but implied vertical and horizontal directions.
* **Angles:** Angle θ is shown between the horizontal line at B and the slope AB. Angle θ is also shown between the horizontal line at C and the slope CD.
* **Labels and Annotations:**
* Points A, P, B, E, C, D, O are labeled.
* The angles θ are labeled.
* **Relative Position and Direction:**
* AB is a slope going down from left to right towards B.
* CD is a slope going up from left to right starting from C.
* BC is a circular arc connecting B and C, with E being the lowest point.
* Point P is on the slope AB, above B.
* Point E is below O and on the arc BC.
* O is the center of the circular arc BC.
* The circular arc BC is described as vertical and smooth.
* The slopes AB and CD are described as fixed.
* The circular arc is tangent to AB at B and tangent to CD at C.
* **Legend:** None.
**Other Information:**
* Collection count: 6
* Group count: 66
* Citation count: 1
* Difficulty: 4 out of 5 stars.