![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7b9d9bf0d5fc25c99170ab27fa4045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d172c505b455fa143daf429944a56211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83ccde054ec5f3473ede6c07e484290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495073b712b30ff06263f344b3adbce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b915ea3069054b7389cee9827dd613c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca88bfff5fb6646b794fd356729cc9d.png)
(1)弹出点的纵坐标y与横坐标x之间应满足的函数关系式;
(2)弹出点的横坐标x为多大时,滑块从A点切入后恰好过最高点D。(结果可用根号表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58943eacd656d7fc9c1b72ff775c0e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d00b74eb4c50bf861e6ff0edf137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59184d6ca2499b573e99b3b211ca75e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348ce836848895cea9feb93d5c02bd41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa471ad1b6c9907ed84d82151025b07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158027114e734f6e41884fa5b92c6160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a831fae871c9028a347e59294f7422ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986badfc5dea707c164e2ab6c98dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8485466d2127bd681a322f87c58f86.png)
(1)小滑块与斜面间的动摩擦因数;
(2)小滑块转过的圆心角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d45ac99407c3e51edbdae1845f91066.png)
3 . 如图所示,一个可视为质点、质量m=1kg的小物块,从平台上的A点以的初速度水平抛出,恰好无碰撞地从C点进入固定光滑圆弧轨道,最后小物块滑上紧靠轨道末端D点的质量M=2kg的长木板,并恰好能到达长木板的左端。已知长木板的上表面与圆弧轨道末端的切线相平,圆弧轨道的半径
,圆弧轨道对应的圆心角为θ,小物块与长木板间的动摩擦因数
,长木板与地面间的动摩擦因数
,不计空气阻力,取重力加速度大小
,sinθ=0.8。求:
(1)小物块滑上长木板时的速度大小;
(2)小物块与长木板间因摩擦产生的热量Q。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799edf593e3ba2b2372a83d9782be3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986badfc5dea707c164e2ab6c98dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8485466d2127bd681a322f87c58f86.png)
(1)物体到达B点撤去拉力
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2)物体由A运动到B的过程中摩擦力做的功;
(3)C点的离地高度;
(4)D点到B点的距离。
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/6d6cd5a3-d268-4514-ac73-1f656dcdd415.png?resizew=291)
5 . 如图所示,在离粗糙水平直轨道CD高处的A点有一质量
的物块
可视为质点
,现将物块以某一初速度水平抛出后,恰好能从B点沿切线方向进入光滑圆弧形轨道BC。B点距水平直轨道CD的高度
,
点为圆弧形轨道BC的圆心,圆心角为
,圆弧形轨道最低点C与长为
的粗糙水平直轨道CD平滑连接。物块沿轨道BCD运动并与右边墙壁发生碰撞,且碰后速度等大反向,已知重力加速度
,不计空气阻力。求:
(1)物块从A点刚抛出时的初速度大小;(结果可以用根式表示)
(2)物块运动至圆弧形轨道最低点C时,物块对轨道的压力大小;
(3)若物块与墙壁发生碰撞且最终停在轨道CD上,则物块与轨道CD间的动摩擦因数应满足的条件。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65da7d4c080c7d06539ec55e8e33d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a831fae871c9028a347e59294f7422ec.png)
(1)求物块A释放点距水平轨道的高度H;
(2)求k=4时物块A、B在传送带上向右滑行的最远距离;
(3)讨论k在不同数值范围时,A、B碰撞后传送带对它们所做的功W的表达式。
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/21/645030d1-ab72-4e63-a839-1e851ea1605a.png?resizew=288)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7263ef5a3c6689b8db41c91e30d85af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fda5655ef480683a2d3b74f0b523439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10aa2afec2aabf8b209bc3d312be2cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde748797d9aef473a02771864307a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210534c6528c7b056179cb5d99f65ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4d962ac60babb3800ab76c0e545e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a831fae871c9028a347e59294f7422ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986badfc5dea707c164e2ab6c98dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8485466d2127bd681a322f87c58f86.png)
(1)求雪车经过最低点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
(2)求从最低点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(3)若雪车刚好能到达直轨道的最高点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)小物块在B点时的速度大小vB;
(2)小物块滑至C点时,圆弧轨道对小物块的支持力大小FN;
(3)长木板至少为多长,才能保证小物块不滑出长木板。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dee915e2fb7b8a1f4328473f9c18ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a585d18cafc764ef0dc144feedce19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d00b74eb4c50bf861e6ff0edf137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1552707683293dcf684d101dd09b5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4ee1b7d06ac4c703e4c086b425c9c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986badfc5dea707c164e2ab6c98dd06.png)
(1)变力F做的功;
(2)物体从斜面底端滑到最高点过程中,克服摩擦力做功的平均功率;
(3)物体回到出发点的速度。
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/55b95f12-d90f-4162-9114-8fc9658e30c1.png?resizew=447)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db11a243163a3082dbbde854e40f08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5749800e2a8814755e919bc062e27026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff597151ef9410256b2697e10f044d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5791b88f5448708771f5c2d265c3c197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276509f01529d982ab21e479a4619268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951f8711766c023891d679c4b951ee71.png)
(1)小球在圆弧轨道最低点所受到的支持力大小
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4367f2fd8581477f7a4fd702a4de7d83.png)
(2)平台左侧上边缘到圆弧轨道右端点的水平距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)