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(1)求碰撞后物块A与木板B的速度大小;
(2)若要保证木板B与弹簧接触之前C与B共速,求物块C在弧形轨道下滑的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92864721d0424f4ed9aaecf6db3797e9.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92864721d0424f4ed9aaecf6db3797e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f58888df91890a19a1aa7511d19703f.png)
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(1)求C下滑的高度H;
(2)与P碰撞前,若B与C能达到共速,且A、B未发生碰撞,求s的范围;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d9fe07a71ec092a89897f8f8cf71ed.png)
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(1)求弹丸从发射器M点射出的动能
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b15fa17c704f1988d059ba69a7ce304.png)
(2)向左平移半圆形挡板墙,使P、Q重合,求弹丸刚进入半圆形轨道Q点时受到弹力的大小;
(3)左右平移半圆形挡板墙,改变PQ的长度,要使弹丸最后不会滑出半圆挡板墙区域,设停止位置对应转过的圆心角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/5fb1ccdc-337c-4335-b381-42bf49c99184.png?resizew=348)
4 . 某兴趣小组设计的连锁机械游戏装置如图所示。左侧有一固定的四分之一圆弧轨道,其末端B水平,半径为3L;在轨道末端等高处有一质量为m的“”形小盒C(可视为质点),小盒C与大小可忽略、质量为3m的物块D通过光滑定滑轮用轻绳相连,左侧滑轮与小盒C之间的绳长为2L;物块D压在质量为m的木板E左端,木板E上表面光滑,下表面与水平桌面间动摩擦因数
(最大静摩擦力等于滑动摩擦力),木板E右端到桌子右边缘固定挡板(厚度不计)的距离为L;质量为m且粗细均匀的细杆F通过桌子右边缘的光滑定滑轮用轻绳与木板E相连,木板E与定滑轮间轻绳水平,细杆F下端到地面的距离也为L;质量为0.25m的圆环(可视为质点)套在细杆F上端,环与杆之间滑动摩擦力和最大静摩擦力相等,大小为0.5mg。开始时所有装置均静止,现将一质量为m的小球(可视为质点)从圆弧轨道顶端A处由静止释放,小球进入小盒C时刚好能被卡住(作用时间很短可不计),此时物块D对木板E的压力刚好为零。木板E与挡板相撞、细杆F与地面相撞均以原速率反弹,最终圆环刚好到达细杆的底部。不计空气阻力,重力加速度为g,求:
(2)小球在四分之一圆弧轨道上克服摩擦力所做的功;
(3)木板E与挡板碰后,向左返回的最大位移;
(4)细杆F的长度。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f881cb9071ca8fea7cef4ab8d4865589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba434e8927ca89b8a27d347c477b5a9d.png)
(1)第一次碰撞过程中,平板所受合外力对平板的冲量;
(2)第三次碰撞时物块离平板右端的距离;
(3)物块最终离木板右端的距离;
(4)若将恒力F撤去,调节初始状态平板左端与挡板的距离L,仅给小物块一个水平向左的初速度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f752a711071211bec5e2c8b39ddca7.png)
![](https://img.xkw.com/dksih/QBM/2022/4/17/2967118137024512/2969102381096960/STEM/95bf4385-5ac0-47fe-b261-64ba452ef3f3.png?resizew=442)
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(1)滑块
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)滑块
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
(3)滑块
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
(4)若弹簧第一次恢复原长时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f4483985c69303de557c69bfee42a7.png)
![](https://img.xkw.com/dksih/QBM/2022/4/17/2967149004775424/2968154927931392/STEM/481c4f71-cbb8-4b81-81a2-9325658355bf.png?resizew=409)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(1)物块a、b碰撞过程中损失的机械能;
(2)物块c在A点的速度大小;
(3)物块c运动到B点时对圆弧轨道的压力;
(4)物块c落到水平面时的速度大小。
![](https://img.xkw.com/dksih/QBM/2022/2/16/2924960499195904/2926187093622784/STEM/45fa0136-e9fc-470a-ba78-8503a161b4ef.png?resizew=419)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ddccda6d0ab0d00ed9292931216e90.png)
(1)求小球由A下滑至B过程所受支持力的冲量大小IN;
(2)小球与滑块第一次碰撞后返回斜面的最大高度为3.2m,求第一次碰后滑块的速度大小vM1;
(3)求小球与滑块发生第n次碰撞后,滑块滑行的距离sn。
![](https://img.xkw.com/dksih/QBM/2020/12/7/2609169650024448/2610495553159168/STEM/8508f212-918e-4917-bba4-7e8b6b54abd8.png?resizew=272)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf05975a6d6f0da58615741a3d59dfc.png)
(1)弹珠第一次通过竖直圆轨道最高点H时对轨道的压力大小;
(2)弹簧的最大弹性势能及弹珠前两次(即第一次和第二次)压缩弹簧过程中弹簧的最大弹性势能之比;
(3)调节竖直圆轨道的半径为R=0.04m,其他条件不变,仍将弹珠从倾斜轨道顶点A处由静止释放,则此后弹珠通过H点的次数。
![](https://img.xkw.com/dksih/QBM/2020/9/11/2547651570745344/2548061172023296/STEM/b64e9991-df06-4d98-a58a-74f90ce0de71.png?resizew=387)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/d76d10e6-0ebe-45f3-be5f-01a43132e62f.png?resizew=201)
(1)碰前瞬间小物块速度大小和方向.
(2)木板至少多长小物块才没有从木板后端离开木板?
(3)木板从开始运动到最后停在斜面底端的整过过程中通过路程多大?