benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10123▌ posts · files
MMLU-Pro / 10123 / Consider the earth to be a uniform solid sphere. If all of themass of the earth…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Consider the earth to be a uniform solid sphere. If all of themass of the earth were suddenly movedradiallyinto athin-walled hollow spherical shell of the same radius, howlong would it take the new earth to rotate on its axis? What fraction of the initial kinetic energy of rotation wouldbe lostin this process?
category
physics
options
- 60 hours, 2/3 of the initial kinetic energy is lost
- 42 hours, 1/5 of the initial kinetic energy is lost
- 54 hours, 4/5 of the initial kinetic energy is lost
- 50 hours, 3/5 of the initial kinetic energy is lost
- 36 hours, 1/4 of the initial kinetic energy is lost
- 30 hours, 1/2 of the initial kinetic energy is lost
- 28 hours, 1/6 of the initial kinetic energy is lost
- 40 hours, 2/5 of the initial kinetic energy is lost
- 24 hours, 1/3 of the initial kinetic energy is lost
- 48 hours, 3/4 of the initial kinetic energy is lost
src
stemez-Mechanics
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Source and history
- upstream_id / Original problem ID
- 10123
- task_id
7ba3c16a-7110-541d-8068-a7b579b9dad6- task_key
default--test--10123- task_revision_id
- 1
- config / split
- default / test
initial import