你是一位物理老师,需要给学生讲解这个题目。要分析每一个运动过程,要求声音画面同步---**Question Number:** 42
**Problem Description:**
"智勇大冲关"最后一关有如图所示的滑道,冲关者坐上坐垫(冲关过程中人和坐垫不分离)从A点静止开始沿倾斜直轨道AB滑下,斜道倾角θ=37°;CD是一长L=3m的水平传送带,B与C两点平滑衔接,A点距传送带垂直距离为h=2.4m,冲关者经C点到D点后水平抛出,落在水面上一点E。已知:传送带末端水面高度H=0.8m,坐垫与AB斜道间动摩擦因数为μ₁=0.5,坐垫与传送带间动摩擦因数为μ₂=0.2,冲关者的质量为m=50kg,坐垫质量忽略不计,sin37°=0.6,cos37°=0.8,g=10m/s²;求:
**Questions:**
(1) 冲关者到达B点时的速度大小v_B;
(2) 如果传送带不动,求冲关者落到水面E点与D点的水平距离x;
(3) 如果传送带速率为1m/s沿逆时针方向转动,求冲关者与传送带之间因摩擦产生的热量Q。
**Diagram Description:**
* **Type:** Schematic diagram illustrating a physical setup involving a ramp, a horizontal conveyor belt, and projectile motion.
* **Main Elements:**
* Point A: Starting point at the top of a ramp. A small dark shape represents the participant here.
* Line segment AB: Represents an inclined straight ramp.
* Angle: Labeled as 37°, indicating the angle of inclination of ramp AB with respect to the horizontal. A dashed horizontal line extends left from A to show this angle.
* Label h = 2.4m: Indicates the vertical distance from point A to the horizontal level of the conveyor belt. Shown with a vertical dashed line and double-headed arrow.
* Horizontal dashed line: Passes through points B, C, and D, representing the horizontal level of the conveyor belt.
* Points B and C: Located on the horizontal line. B is at the end of the ramp, C is the start of the conveyor belt. The connection is described as smooth.
* Line segment CD: Represents the horizontal conveyor belt.
* Label L = 3m: Indicates the length of the conveyor belt CD. Shown with a horizontal double-headed arrow below the segment.
* Point D: End of the conveyor belt.
* Label H = 0.8m: Indicates the vertical distance from point D to the water surface. Shown with a vertical dashed line and double-headed arrow.
* Wavy line: Represents the water surface below the level of D.
* Curved dashed line: Represents the trajectory of the participant after leaving point D, ending at point E.
* Point E: Landing point on the water surface, located to the right of D.
* Labels: Points A, B, C, D, E are labeled. Measurements h, L, H, and angle 37° are labeled.
**Other Relevant Text/Formulas:**
* μ₁ = 0.5 (Kinetic friction coefficient on AB)
* μ₂ = 0.2 (Kinetic friction coefficient on CD)
* m = 50kg (Mass of participant)
* Mass of seat cushion is negligible.
* sin37° = 0.6
* cos37° = 0.8
* g = 10m/s²