benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9554▌ posts · files
MMLU-Pro / 9554 / A 'fishbowl' of height 4r/3 is formed by removing the top third of a sphere of…
Problem
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question
A 'fishbowl' of height 4r/3 is formed by removing the top third of a sphere of radius r=6. The fishbowl is fixed in sand so that its rim is parallel with the ground. A small marble of mass m rests at the bottom of the fishbowl. Assuming all surfaces are frictionless and ignoring air resistance, find the maximum initial velocity that could be given to the marble for it to land back in the fishbowl with g=9.8.
category
physics
options
- 20.5
- 24.0
- 16.4
- 22.3
- 18.25
- 23.1
- 21.7
- 19.6
- 17.0
- 15.75
src
theoremQA-Physics
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Source and history
- upstream_id / Original problem ID
- 9554
- task_id
4a6b2485-5a8e-586c-8b73-c8309c6df524- task_key
default--test--9554- task_revision_id
- 1
- config / split
- default / test
initial import