{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"frontierscience","formal_name":"FrontierScience","introduction":"専門的な科学課題を解く能力を評価するベンチマークです。公開データはolympiadとresearchに分かれ、競技問題と研究課題を区別して扱います。\n\nFrontierScience evaluates the ability to solve expert-level scientific tasks. Its public data separates olympiad and research problems so that competition and research tasks can be examined independently.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/openai/frontierscience","indexing_mode":"noindex"},"task_id":"4bb78fbe-8ab4-5d37-b130-fa667f751c78","task_key":"olympiad--test--f4681d73~2db08d~2d450c~2d89d3~2d85b9d1250419","task_revision_id":"1","upstream_id":"f4681d73-b08d-450c-89d3-85b9d1250419","short_description":"Consider a vehicle with a proper length of `\\( L \\)` in the `\\(x\\)`-direction.","config":"olympiad","split":"test","body":"{\"problem\":\"Consider a vehicle with a proper length of `\\\\( L \\\\)` in the `\\\\(x\\\\)`-direction.\\nThe rear end of the vehicle moves with a uniform proper acceleration `\\\\( \\\\vec{a} = a \\\\hat{x} \\\\)`, with `\\\\( a > 0 \\\\)`, i.e., in the inertial instantaneous rest frame of the vehicle's rear end, the vehicle's rear end has an acceleration of `\\\\( \\\\vec{a} \\\\)`. \\nAt a certain moment, the velocity of the rear end of this vehicle relative to the laboratory frame, a fixed inertial frame, is `\\\\( \\\\vec{v} = v \\\\hat{x}\\\\)`, with `\\\\( v > 0\\\\)`.\\nFind the length `\\\\( L_{\\\\text{lab}} \\\\)` of the vehicle body measured in the laboratory frame at this moment.\\nYou need to consider special relativistic effects, with the speed of light being `\\\\( c \\\\)`.\\nPlease observe that, so as for the vehicle to not disintegrate during the acceleration process, we enforce that, for any constituent atom of the vehicle, when viewed within the instantaneous rest frame of that atom, the relative distance between that atom and any other atom of the vehicle does not change over time.\\nGive your answer in terms of `\\\\(L, a, v\\\\)` and `\\\\(c\\\\)`.\\n\\nThink step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.\",\"subject\":\"physics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/openai/frontierscience","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}