id int64 | question string | final_answer list | embedding list |
|---|---|---|---|
800 | A quarantined physics student decides to perform an experiment to land a small box of mass $m=60 \mathrm{~g}$ onto the center of a target a distance $\Delta d$ away. The student puts the box on a top of a frictionless ramp with height $h_{2}=0.5 \mathrm{~m}$ that is angled $\theta=30^{\circ}$ to the horizontal on a tab... | [
"2.47"
] | [
0.031494140625,
-0.0478515625,
-0.00921630859375,
0.0126953125,
-0.00007200241088867188,
0.017578125,
-0.007537841796875,
0.025390625,
-0.01019287109375,
0.0296630859375,
-0.051513671875,
0.00109100341796875,
0.000499725341796875,
-0.020751953125,
0.01507568359375,
0.000667572021484375... |
801 | A wooden bus of mass $M=20,000 \mathrm{~kg}$ ( $M$ represents the mass excluding the wheels) is on a ramp with angle $30^{\circ}$. Each of the four wheels is composed of a ring of mass $\frac{M}{2}$ and radius $R=1 \mathrm{~m}$ and 6 evenly spaced spokes of mass $\frac{M}{6}$ and length $R$. All components of the truck... | [
"3.32"
] | [
0.01171875,
-0.0194091796875,
0.000392913818359375,
0.017578125,
0.00811767578125,
0.041748046875,
0.0289306640625,
0.03076171875,
-0.031494140625,
0.023193359375,
-0.025390625,
0.000152587890625,
-0.0027923583984375,
0.011474609375,
0.027099609375,
-0.0023193359375,
-0.0216064453125... |
804 | "A ball is situated at the midpoint of the bottom of a rectangular ditch with width $1 \\mathrm{~m}$(...TRUNCATED) | [
"2"
] | [0.0172119140625,-0.004913330078125,-0.01708984375,0.03515625,-0.0011138916015625,0.01385498046875,0(...TRUNCATED) |
805 | "A frictionless track contains a loop of radius $R=0.5 \\mathrm{~m}$. Situated on top of the track l(...TRUNCATED) | [
"$2.37$"
] | [0.038330078125,-0.0284423828125,-0.0113525390625,0.0274658203125,-0.005096435546875,0.046142578125,(...TRUNCATED) |
809 | "The following diagram depicts a single wire that is bent into the shape below. The circuit is place(...TRUNCATED) | [
"$1.9$"
] | [0.0233154296875,-0.0166015625,-0.01373291015625,-0.0017242431640625,-0.01275634765625,0.00132751464(...TRUNCATED) |
815 | "For his art project, Weishaupt cut out $N=20$ wooden equilateral triangular blocks with a side leng(...TRUNCATED) | [
"21"
] | [0.0262451171875,0.007415771484375,0.01092529296875,-0.01251220703125,-0.00433349609375,0.0070800781(...TRUNCATED) |
818 | "The graph provided plots the $y$-component of the velocity against the $x$-component of the velocit(...TRUNCATED) | [
"1"
] | [0.0294189453125,-0.016845703125,-0.0201416015625,0.0238037109375,0.0003871917724609375,0.0358886718(...TRUNCATED) |
820 | "While exploring outer space, Darth Vader comes upon a purely reflective spherical planet with radiu(...TRUNCATED) | [
"$1.33 \\cdot 10^{35}$"
] | [0.00299072265625,-0.01385498046875,0.0010833740234375,-0.0255126953125,0.01153564453125,0.019287109(...TRUNCATED) |
822 | "Mario is racing with Wario on Moo Moo Meadows when a goomba, ready to avenge all of his friends' de(...TRUNCATED) | [
"40"
] | [0.035400390625,0.005218505859375,-0.0201416015625,-0.01361083984375,0.0205078125,0.019775390625,0.0(...TRUNCATED) |
824 | "An engineer has access to a tetrahedron building block with side length $\\ell=10 \\mathrm{~cm}$. T(...TRUNCATED) | [
"4.62"
] | [0.0361328125,-0.005889892578125,-0.0185546875,-0.01336669921875,0.00946044921875,0.01446533203125,0(...TRUNCATED) |
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