-
如图所示,竖直平面内放一直角杆,杆的水平部分粗糙,竖直部分光滑,两部分各套有质量分别为mA=2.0kg和mB=1.0kg的小球A和B,A球与水平杆间动摩擦因数μ=0.20,A,B间用不可伸长的轻绳相连,图示位置处OA=1.5m,OB=2.0m,g取10m/s2.(1)若用水平力F沿杆向右拉A,使A由图示位置向右极缓慢地移动0.5m,则该过程中拉力F1作了多少功?
(2)若用水平力F2沿杆向右拉A,使B以1m/s的速度匀速上升,则在B经过图示位置上升0.5m的过程中,拉力F2做了多少功?
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(19分)如图所示,竖直平面内放一直角杆AOB,杆的水平部分粗糙,动摩擦因数为0.20,杆的竖直部分光滑,两部分各套有质量分别为2.0kg和1.0kg的小球A和B,A、B间用细绳相连,初始位置OA=1.5m,OB=2.0m,g=10m/s2。
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKkAAACJCAAAAAByEkfFAAAABGdBTUEAALGOfPtRkwAAAAlwSFlz
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f0IhclL9+f+3mnZJRF6Kr6keoYhYcWe/yUtLJS06gLfAMEkbYuoOsBb685m+xwLv/XQ0HUSCbSdd
Gw+2yzSsjL8Liftf65F9D8VnT38WwUFtIzUE4Y41iQNqdyjgq63Gf3/hEo6qraQNxjonam63eq+i
hHzV8vLdD49OoIjq5KdFDTjE30dS3UrvzpBcKQdqzx1/qteln1jT5+pULGph4ECaLkKn7S/5nm5l
Z3iHXOmuayv3vR12JtWik+YGwV8mtNhQvPXxHEhnzs2oymGIrLl5fzAU2tEjV+rlUPDPpZ9dOinm
WxtMT0vRkUSTUk6zn/vtiYvpcQCq2uPz+WT9py7LPt/T4fed+1h4/temBoVPZxfjbaI6kB5NSjOS
lAOQSncdqVUrlUpd/61Wr37+gUsfp5o+X8wOnbFw1FbSxqo3/gyfHxwuZM8BSNVIZbW8crMuV26u
lDX1R6sFYt9tr/WQbZoaB2FY5P93cCVx4dnlQK2sr/2l5Yu72UDtHqF99jkpjYHG9u3x1zQjnt74
ag4wK2xRimMA5eShx/fdCviqt0tfn4xwdGQyxTyhmLqNzb0y2Rf2X7/24Bf9OKBkZ37lav7yD6sv
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Go3djsQUpMWzX7KDrlk4bjoEpFrqDPvB1v3qTUCaGmEO9vrMu00+QeSfUdEDlOFL6JouZmFO6now
Qic9OO52v2tfba4zT6FpLsoeoNbfurjEC2RNSx+xbU4GnevEE/iplgQEKI+xF1fTzKvMAcojJ/La
n52H3Lk9smJqupiBBShvqJikyWPsAcobJXKUykfi3sdlb4mn6fyJ79iHZ7BAI9WSp9hPUAygePt+
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PZm9WyDMfuE8+brH2ffV9CeA9cFuwq9pajTCPizAgpt0KpgADAsw4SVdmBDipPqT8ZIenFQA+kBM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)
(1)若用水平拉力F1沿杆缓慢拉A,使之移动0.5m,则在该过程中
①小球A受到的摩擦力多大?
②小球A、B和地球组成的系统机械能的变化量多大?
(2)若小球A、B都有一定的初速度,A在水平拉力F2的作用下,使B由初始位置以1.2m/s的速度匀速上升0.5m,此过程中F2做的功?(绳子始终处于绷紧状态)
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如图所示,竖直平面内放一直角杆AOB,杆的水平部分粗糙,动摩擦因数μ=0.20,杆的竖直部分光滑,两部分各套有质量分别为2.0kg和1.0kg的小球A和B,A、B间用细绳相连,初始位置OA=1.5m,OB=2.0m,g取10m/s2,则
(1)若用水平拉力F1沿杆向右缓慢拉A,使之移动0.5m,该过程中A受到的摩擦力多大?拉力F1做功多少?
(2)若小球A、B都有一定的初速度,A在水平拉力F2的作用下,使B由初始位置以1.0m/s的速度匀速上升0.5m,此过程中拉力F2做功多少?
-
如图所示,竖直平面内放一直角杆AOB,杆的水平部分粗糙,动摩擦因数μ=0.20,杆的竖直部分光滑,两部分各套有质量分别为2.0kg和1.0kg的小球A和B,A、B间用细绳相连,初始位置OA=1.5m,OB=2.0m,g取10m/s2,则
(1)若用水平拉力F1沿杆向右缓慢拉A,使之移动0.5m,该过程中A受到的摩擦力多大?拉力F1做功多少?
(2)若小球A、B都有一定的初速度,A在水平拉力F2的作用下,使B由初始位置以1.0m/s的速度匀速上升0.5m,此过程中拉力F2做功多少?
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如图所示,光滑水平面上有A、B、C三个物块,其质量分别为mA=2.0kg,mB=1.0kg,mC=1.0kg.现用一轻弹簧将A、B两物块连接,并用力缓慢压缩弹簧使A、B两物块靠近,此过程外力做功108J(弹簧仍处于弹性限度内),然后同时释放A、B,弹簧开始逐渐变长,当弹簧刚好恢复原长时,C恰以4m/s的速度迎面与B发生碰撞并粘连在一起.求
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAABGdBTUEAALGPC/xhBQAAAAlwSFlz
AAAOwgAADsIBFShKgAAABJ1JREFUeF7tmQ2uozoMhauRnjRr6oK6HlbTzXQhI4004mHAt8Y45Ngl
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MCzNmo3n2obEyCNRslkxEm2zYjzcuvO4B9oLElQ7nKG/uOnTezpdhi+tO1OznHv0Q/3oRa0R3X+8
WT936tpfhn3u6220Jq2tPKTNitE2XmubPBI6hijZJLW1i1vXX7rhdWbokQ9o+LnZzaceNcfyQ7DF
QxcVILb/VJ+8UeMH+YGG11gxERvPtU2uiZJNI22WH2PogbE3qBfwh58E1Y5m6Cpu+qoqFTI0y/DJ
RolfVIzQ/sPT6Sw+tNv1rtGaVg5WzCM2SfQ8QtosP8L1Ml87dR09oNqxDAfw4uane+R7yiB6UVEi
+/O7Jw/vjy6taeVgxaA2DWKL7GX5a+hrp195UVBtf4YzeHHT+2zkl7cFrhvDv796nRmfUr56pxu9
HBrEZp37jL3kcDG+t4vrRH/QcPzYl6DazgzvwMUFGmAL90V1Erlp+mt4+iGOP6kQTStG22ht2TR7
7iWp+RfQdVPNPT7t377h5yd86ZXm2vkKdF3UAN79x5u0qG3rB7oNomnFaButLZtmz70kNf/EfH3G
/fl3jrTR8L/WYNpD3Hx0gwqMzH97Xz7l1asAiEs3gG//dQ38N3lPXYimjqE1atMgNnQvSc3fElQ7
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6Hmamr8lqPYi6s+/vz+jRlZxrXUz6kI0dQytIzaea5tcEyXbFjV/S1DtVRTS7ERWca11M+qCb5aI
ozkPa01IH+Oxba0tav6WoNqrqKPhn18XfLPmODrKuTwSls+y8bHkIyxbCSSmFaj2Kko2PL/esE2u
WUD6JTJWs+WTWHGka9kJXkufjqmRcdPgmzXE8WC8NkkppmYrgcS0AtVeRZWaiOE1CUhfaU6gPknp
nF+//5tnE+yjIw+55jlKxk3LbJQ9+biGl3NueDkYOSdQn6RkLzU8gcxrHA0f5yManmCb9HHDW2i7
XG/5JCX70fCvy1s1PDeF1RyWTzd8aU6gPknpnKPhX5e3a3jdGLQJD2o0uZZ2y8d2j89aa5u0S5+2
lebH+PIx9/YKckrkh0H7JC18xDdoHvm01zQj9IlHsy858nlfzVWUdPJrDjf8HoKaLR/xDZpHPs/T
XKxeISHJkc97ab5DPj+W6KbEngkxRz7vpfku+ZTPmNnalGiR7BYZ+UR9RIZmlOi+tfNa1BLbs+//
B/jBM3dBh5ybAAAAAElFTkSuQmCC6I+B5LyY572R
)
(1)弹簧刚好恢复原长时(B与C碰撞前)A和B物块速度的大小?
(2)当弹簧第二次被压缩时,弹簧具有的最大弹性势能为多少?
-
如图所示,光滑水平面上有A、B、C三个物块,其质量分别为mA=2.0kg,mB=1.0kg,mC=1.0kg.现用一轻弹簧将A、B两物块连接,并用力缓慢压缩弹簧使A、B两物块靠近,此过程外力做功108J(弹簧仍处于弹性限度内),然后同时释放A、B,弹簧开始逐渐变长,当弹簧刚好恢复原长时,C恰以4m/s的速度迎面与B发生碰撞并粘连在一起.求
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAABGdBTUEAALGPC/xhBQAAAAlwSFlz
AAAOwgAADsIBFShKgAAABJpJREFUeF7tmVG2ozAIhn2Y2VQX1PW4mm6m65iHmRdHVG4RiflDTalt
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qOJq60bUFdkoRxJZB6rtzjCquNq6EXVFNsqRRNaBarszjCqutm5EXTlN8vOIBMkzClTbnWFUcbV1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)
(1)弹簧刚好恢复原长时(B与C碰撞前)A和B物块速度的大小?
(2)当弹簧第二次被压缩时,弹簧具有的最大弹性势能为多少?
-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQuSURBVHhe7ZkBkoIwDEU5lwfiPJyGy3gYlgDV
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hVnmonUzfG1pyjHq/5cm0WJngWq7K8wyF62b4WtNU4tTTMa1/tExCRqz0w9dd18+46Da7gqPMWcn
WjfDl6a5FeNjSIyOvMlYgY8VtFhBxrQcG/ehuzXD7as2fN9O55bW9nNsOgK4dUE88/ft08+j3brx
8mFomrVY+SxjSA4/EmsxLYcjY1qOhXt3m+ZA9wIH1XZXaDc3371N045fWk/mzXIb0Jt676LW8M4/
XazHleqHdpzn2d9GalJfq4PHtBwZK30Z40dC5hBrMU6tb+LeDW03vs6Me+QLNvyy2dWnHm2O15tg
i12LCuCbf/bHL9R0I+/Y8BItxxMrn2WM94m1mITHtHGMcQ9Me4P2Av7w46Da3gpN5uavqjUj42YZ
72wU/6JiuOYfn043dtNu+31Hamo1aDl7YhzveQSPaeMIfbusnVhHC6i2r8IR3NzydPd8Tyl4FxXF
M3959yzN+qNLamo1aDloTILEPHNp4zXk2slXXhRU217hAm5ufp/1/PLWwHV92OcXrzPTU8rmd77Q
r02CxLRzz5iLNxPTeztbJ/qDhuHHPgfVNlb4BDbn2ABbmBfViOeiya/h+Yc4/qRCNLUcGaO+FpMc
ORenNv4CrZvY3NPT/uM3/PKEX3ul6TubQdOiOrDOP12kF29bP9B1EE0tR8aor8UkR87FqY3PLOsz
zV9+5/AYNftrDaY95i1HM6jAxPK399envHgVADHpOrDN/+6h/E3e4gvRlDnUR2MSJIbOxamNR4Jq
uys0m1tebei8ucX++ckLPL/4B9qz2X3ReTVkTtHjWGIS73mc2ngkqLa7wixz0boZvhBNmUP9PTGO
9zxJbTwSVNtdYZa5aN0MX4imzKG+J1Y+yxjvE2uxLWrjkaDa7gqzzEXrZviCLxbLo8+laX2CjxUs
sa2+Rm08ElTbXWGWuWjdDF/wxVry6Mg/8yOhjWmxclwbI7TYGkhOFKi2u8Isc9G6Gb7gizXmlVaw
xjhrObXYGkhOFKi2u8Isc9G6Gb4yN8qRZPpAtd0VZpmL1s3wlblRjiTTB6rtrjDLXLRuhq/MjXIk
mT5QbXeFWeaidTN8ZW6UI8n0gWpvZtEkV7vaV7Vlb79Bg2ucPUb8guZVT7ymmrF3Ug3vGPELmlc9
52i+ZR0xqcQ7RvyC5lXPeZovvf9QEOeq57M0P6GeR8Q7KXFkQYWrns/S/JR61s9Y2JqUiCh2i4x6
vGNEhqYX77y18yK8+OYchj/BbzfNq3cfLAAAAABJRU5ErkJgguiPgeS8mOe9kQ==
)
如图所示,光滑水平面上有A、B、C三个物块,其质量分别为mA=2.0kg,mB=1.0kg,mC=1.0kg.现用一轻弹簧将A、B两物块连接,并用力缓慢压缩弹簧使A、B两物块靠近,此过程外力做功108J(弹簧仍处于弹性限度内),然后同时释放A、B,弹簧开始逐渐变长,当弹簧刚好恢复原长时,C恰以4m/s的速度迎面与B发生碰撞并粘连在一起.求
(1)弹簧刚好恢复原长时(B与C碰撞前)A和B物块速度的大小?
(2)当弹簧第二次被压缩时,弹簧具有的最大弹性势能为多少?
-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQuSURBVHhe7ZkBkoIwDEU5lwfiPJyGy3gYlgDV
GAP9CYSsypvpYNPQn18K4m4zXFz8ENeGv/gp3Bu+aZq0Fommd0b7BjRfZzaEXRs+g2jdDF9Za3k0
mT5QbXeFWeaidTN8ZW6UI8n0gWq7K8wyF62b4StzoxxJpg9U211hlrlo3QxfNU0aLy0TpM4sUG13
hVnmonUzfG1pyjHq/5cm0WJngWq7K8wyF62b4WtNU4tTTMa1/tExCRqz0w9dd18+46Da7gqPMWcn
WjfDl6a5FeNjSIyOvMlYgY8VtFhBxrQcG/ehuzXD7as2fN9O55bW9nNsOgK4dUE88/ft08+j3brx
8mFomrVY+SxjSA4/EmsxLYcjY1qOhXt3m+ZA9wIH1XZXaDc3371N045fWk/mzXIb0Jt676LW8M4/
XazHleqHdpzn2d9GalJfq4PHtBwZK30Z40dC5hBrMU6tb+LeDW03vs6Me+QLNvyy2dWnHm2O15tg
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vGNEhqYX77y18yK8+OYchj/BbzfNq3cfLAAAAABJRU5ErkJgguiPgeS8mOe9kQ==
)
如图所示,光滑水平面上有A、B、C三个物块,其质量分别为mA=2.0kg,mB=1.0kg,mC=1.0kg.现用一轻弹簧将A、B两物块连接,并用力缓慢压缩弹簧使A、B两物块靠近,此过程外力做功108J(弹簧仍处于弹性限度内),然后同时释放A、B,弹簧开始逐渐变长,当弹簧刚好恢复原长时,C恰以4m/s的速度迎面与B发生碰撞并粘连在一起.求
(1)弹簧刚好恢复原长时(B与C碰撞前)A和B物块速度的大小?
(2)当弹簧第二次被压缩时,弹簧具有的最大弹性势能为多少?
-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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vGNEhqYX77y18yK8+OYchj/BbzfNq3cfLAAAAABJRU5ErkJgguiPgeS8mOe9kQ==
)
如图所示,光滑水平面上有A、B、C三个物块,其质量分别为mA=2.0kg,mB=1.0kg,mC=1.0kg.现用一轻弹簧将A、B两物块连接,并用力缓慢压缩弹簧使A、B两物块靠近,此过程外力做功108J(弹簧仍处于弹性限度内),然后同时释放A、B,弹簧开始逐渐变长,当弹簧刚好恢复原长时,C恰以4m/s的速度迎面与B发生碰撞并粘连在一起.求
(1)弹簧刚好恢复原长时(B与C碰撞前)A和B物块速度的大小?
(2)当弹簧第二次被压缩时,弹簧具有的最大弹性势能为多少?
-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALwAAAAkCAYAAAAzfFCFAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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vGNEhqYX77y18yK8+OYchj/BbzfNq3cfLAAAAABJRU5ErkJgguiPgeS8mOe9kQ==
)
如图所示,光滑水平面上有A、B、C三个物块,其质量分别为mA=2.0kg,mB=1.0kg,mC=1.0kg.现用一轻弹簧将A、B两物块连接,并用力缓慢压缩弹簧使A、B两物块靠近,此过程外力做功108J(弹簧仍处于弹性限度内),然后同时释放A、B,弹簧开始逐渐变长,当弹簧刚好恢复原长时,C恰以4m/s的速度迎面与B发生碰撞并粘连在一起.求
(1)弹簧刚好恢复原长时(B与C碰撞前)A和B物块速度的大小?
(2)当弹簧第二次被压缩时,弹簧具有的最大弹性势能为多少?