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textbook8k_1018_00001884
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<image>有 5 个质量相同、大小不计的小木块 $1 、 2 、 3 、 4 、 5$ 等距离地依次放在倾角 $\theta=30^{\circ}$ 的斜面上，如图所示．斜面在木块 2 以上的部分是光滑的，以下部分是粗糙的， 5 个木块与斜面粗糙部分之间的静摩擦因数和滑动摩擦因数都是 $\mu$ 。开始时用手扶住木块 1 ，其余各木块都静止在斜面上。现在放手使木块 1 自由下滑并与木块 2 发生碰撞，接着陆续发生其它碰撞，假设碰撞都是完全非弹性的，试问 $\mu$ 取何值时木块 4 能被撞而 5 不能被撞？
|
$\frac{14}{13} \tan \theta>\mu \geqslant \frac{30}{29} \tan \theta\quad(\frac{14 \sqrt{3}}{13}>\mu \geqslant \frac{30 \sqrt{3}}{29})$
| null |
Mechanics
|
这是一张物理示意图，描绘了五个相同的方形物块放置在一个倾斜的平面上。
- 斜面：图中有一条从左上向右下倾斜的直线，代表一个光滑或粗糙的斜面。
- 物块：在斜面上，从上到下依次排列着五个外形相同的正方形物块。每个物块的中心位置都标有一个数字，从斜面顶端到底端依次为“1”、“2”、“3”、“4”、“5”。物块之间保持着一定的间距。
- 倾角：在斜面的右下角，斜面与一条水平基准线之间标注了一个角度，其值为“θ = 30°”，表示斜面的倾角为30度。
整体来看，该图展示了一个典型的斜面物理模型，常用于分析物体在重力作用下的运动、静止或受力情况。五个物块沿斜面等间距排列，可能用于表示运动过程中的不同位置或不同物体。
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] |
|
textbook8k_1018_00001983
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>如图所示，在坚直平面内有一个半径为 $R$ 的固定光滑绝缘圆环，空间(...TRUNCATED)
|
$\frac{R}{6}$
| null |
Mechanics
| "这是一张物理情景示意图，描绘了一个带电粒子在匀强磁场中沿竖直圆形轨(...TRUNCATED)
| [-0.009033203125,-0.031494140625,-0.00189208984375,0.003875732421875,-0.00274658203125,0.01354980468(...TRUNCATED)
| [-0.004486083984375,-0.025390625,-0.006134033203125,0.0005950927734375,-0.004638671875,0.02648925781(...TRUNCATED)
|
textbook8k_1018_00001958
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>如图所示，两个均匀的带电球面 $A$ 和 $B$ ，分别带电 $4 Q$ 和 $Q(Q>0)$ (...TRUNCATED)
|
$\frac{2}{9}(\sqrt{10}-1) d$
| null |
Electromagnetism
| "这是一张描绘两个带电球体及其周围空间点的物理示意图，用于分析电场或(...TRUNCATED)
| [-0.003387451171875,-0.0233154296875,-0.00604248046875,0.005157470703125,-0.00439453125,0.0187988281(...TRUNCATED)
| [-0.00811767578125,-0.02490234375,0.00007486343383789062,0.004425048828125,-0.01446533203125,0.02697(...TRUNCATED)
|
textbook8k_1018_00001890
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>某惯性系中沿 $x$ 轴方向有场强为 $\\boldsymbol{E}$ 的匀强电场，现设质(...TRUNCATED)
|
$\frac{2m\left(v_{1}-v_{2}\right)}{\left(q_{2}-q_{1}\right)E}$
| null |
Mechanics
| "这是一张描绘两个带正电粒子在匀强电场中运动的物理示意图。\n\n详细描(...TRUNCATED)
| [0.0172119140625,-0.0233154296875,-0.0184326171875,0.029296875,0.006256103515625,0.0247802734375,0.0(...TRUNCATED)
| [0.018310546875,-0.013427734375,-0.0146484375,0.031982421875,0.000885009765625,0.03515625,0.02856445(...TRUNCATED)
|
textbook8k_1018_00001959
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>坚直平面内有一个每边长均为 $2 l$ 的光滑固定三角导轨架 $A B C, B, C$ (...TRUNCATED)
|
$2.546 \sqrt{\frac{l}{g}}$
| null |
Mechanics
| "这是一张物理示意图，展示了一个由两根等长绳子和两个小球组成的对称结(...TRUNCATED)
| [0.0247802734375,-0.036376953125,0.0023345947265625,0.006439208984375,0.021484375,0.0023193359375,0.(...TRUNCATED)
| [0.01904296875,-0.029052734375,0.00360107421875,0.0022735595703125,0.0208740234375,0.0059814453125,0(...TRUNCATED)
|
textbook8k_1018_00000422
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>两个重均为 $P$ 的相同圆柱 $I$ 分别用绳子悬挂于 $O$ 点。在两圆柱体(...TRUNCATED)
|
$\left(\frac{2 P}{Q}+1\right) \tan \alpha$
| null |
Mechanics
| "这是一张物理示意图，描绘了一个由三根细线悬挂三个相互接触的圆形物体(...TRUNCATED)
| [-0.01068115234375,-0.020263671875,0.005950927734375,0.01361083984375,0.0004119873046875,0.028686523(...TRUNCATED)
| [0.0040283203125,-0.00640869140625,0.0150146484375,0.017578125,-0.00335693359375,0.031494140625,0.03(...TRUNCATED)
|
textbook8k_1018_00000443
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>为了观察排水量 $D=2000 \\mathrm{kN}$ 的浮桥船的浮动情况，由提升能力为(...TRUNCATED)
|
$1.36$
| null |
Mechanics
| "这是一张物理示意图，描绘了一个倾斜放置在液体中的长条状物体（如杆或(...TRUNCATED)
| [0.00958251953125,-0.034912109375,0.00848388671875,0.028076171875,-0.00970458984375,0.030517578125,-(...TRUNCATED)
| [0.023193359375,-0.0235595703125,0.0123291015625,0.0162353515625,-0.0113525390625,0.02978515625,0.00(...TRUNCATED)
|
textbook8k_1018_00001862
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>足够高的桌面上开一小孔，长 $L$ 、质量 $M$ 的均匀细杆坚直穿过小孔(...TRUNCATED)
|
$\sqrt{\frac{m^{2}}{M^{2}-m^{2}} g L}$
| null |
Mechanics
| "这是一张物理情景示意图，描绘了一个由两个质量组成的系统，悬挂在两个(...TRUNCATED)
| [0.018798828125,-0.047607421875,0.0098876953125,-0.0032958984375,0.00787353515625,0.01318359375,0.02(...TRUNCATED)
| [0.0189208984375,-0.041748046875,0.00946044921875,-0.00927734375,-0.0072021484375,0.017333984375,0.0(...TRUNCATED)
|
textbook8k_1018_00002008
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image><image>如图所示，用不同的电阻丝连接成 5 个相继中分内接正三角形网(...TRUNCATED)
|
$\frac{724}{627}$
| null |
Electromagnetism
| "第一张图片：该图展示了一个由多个嵌套等边三角形构成的几何结构，整体(...TRUNCATED)
| [0.037841796875,-0.00042724609375,-0.00445556640625,-0.02099609375,0.0108642578125,-0.0181884765625,(...TRUNCATED)
| [0.03759765625,0.0062255859375,-0.00007200241088867188,-0.0250244140625,0.003265380859375,-0.0082397(...TRUNCATED)
|
textbook8k_1018_00002030
| [{"src":"https://datasets-server.huggingface.co/assets/ttlynne/human1231_selected_15K_with_image_fil(...TRUNCATED)
| "<image>凸透镜后面距离 $L=4 \\mathrm{~cm}$（大于焦距）处放置一块垂直于主光轴(...TRUNCATED)
|
$3$
| null |
Optics
| "这是一张物理示意图，展示了一个物体或波在一条水平轴线上运动或传播，(...TRUNCATED)
| [0.01043701171875,-0.0126953125,0.00738525390625,-0.00139617919921875,0.001922607421875,-0.018676757(...TRUNCATED)
| [0.00921630859375,-0.018798828125,0.00775146484375,-0.01495361328125,0.00860595703125,-0.00830078125(...TRUNCATED)
|
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