![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348ce836848895cea9feb93d5c02bd41.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63519b11c51441dd31d22aea2e0a4d2d.png)
(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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)小物块Q的质量m2;
(2)烧断细绳后,物块P在MN斜面上滑行的总路程;
(3)烧断细绳后,物块P到达D点时对轨道的最大压力与最小压力之差。
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/30/3be8d552-11ea-48fc-a077-bba3898edecd.png?resizew=261)
3 . 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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348ce836848895cea9feb93d5c02bd41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f75381b60d66bcddeca98539926e9b4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dff7dd1e83af9ee9d10bebbffc6a81e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced8cbb708a1c7b367d9a14c8eaa691b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a037e97d9c91e080844e111bc3183.png)
(1)要使滑块恰能运动到E点,求滑块释放点的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbf9cf0857352c9f4cab7a508d1026.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d5ed065eadd00378940a6a60912aa5.png)
(3)求滑块静止时距B点的水平距离x与释放点高度h的关系。
![](https://img.xkw.com/dksih/QBM/2022/4/29/2975760886792192/2977789548003328/STEM/04f3d4e1-95c3-447d-8c8c-2bf2f4bbbbc8.png?resizew=328)
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed7cf294900b751811ac4d077c5a36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18c3eb51cbd9870c94a046c67450ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff597151ef9410256b2697e10f044d4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4489d9b83072184c0e1d6b09be50ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5814234465e1ff0d9875fc240df1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799edf593e3ba2b2372a83d9782be3a2.png)
(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/2ede11e7554a7b18b81b4ebeade30592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e744cd6adcab3b23b3b494534463de53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2d2c7d338546a30f63b1ada1d4e1d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e79a12d7e73441a2a056afc79ea6fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2de545d64e2c0da2ed6a925a1c37730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8799796fdb97ea2f52321b3aac91516f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d2c86643f76f1e44b526dc26a0b0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f4cfcca7064fd57a776c6041edceb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58f7c76d58f163c760fc632657ca14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4747fcb63fedac8ed6235e5d21bce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf189a86ac788e61722281a7b1ed7b8e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(2)第一次碰撞后,B恰好停在营垒中心O处,求碰后A的速度大小
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d38c778c86ff138a5d5c0b16385f2f.png)
(3)已知A、B碰撞前后速度均满足比值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a7def58571607cdc2088c417f75a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9a5fbf690581d8517d264c254a1f72.png)
![](https://img.xkw.com/dksih/QBM/2022/4/21/2962842535108608/2963063157202944/STEM/8e54d58f-1a13-4a50-b1e9-10669d28f6a1.png?resizew=437)
(1)物块经过B点时的速度vB;
(2)物块经过C点时的速度vC;
(3)若木板长L=1.5m,在运动过中系统因摩擦产生的热量Q。
![](https://img.xkw.com/dksih/QBM/2022/4/4/2958079385378816/2960822567346176/STEM/be419132-35af-4165-8850-dcfbffa20e01.png?resizew=316)
![](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/84f9d47d2ae1088b9f5157260c529310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23207edb0bc24345d9d093bc6b324d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3639b9b596019a23574b1dc4bf3e0ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d00b74eb4c50bf861e6ff0edf137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046ab7b9dfcac6346d6ab77ba123ce9c.png)
(1)求物体沿着斜面匀加速下滑到达底端的速度大小;
(2)若货物到达斜面底端的速度过快将会造成物品损坏,于是工人就在木板上贴了一层长为x米的特殊材料使得货物能够到达底端且速度不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88406703f9d15b1020c4ccdeddb24683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf59b8aa81fc4c24fc9f8f543fbfaf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30852b87a75b0103a2955e9c0929cf9.png)
(3)现在特殊材料的长度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf99b1e50e9d48292b3d4b6d8a71cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf59b8aa81fc4c24fc9f8f543fbfaf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88406703f9d15b1020c4ccdeddb24683.png)
![](https://img.xkw.com/dksih/QBM/2021/12/7/2874503427072000/2877353628385280/STEM/540f45ed-361d-4aba-a8ae-cbd05357ae91.png?resizew=302)