benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9351▌ posts · files
MMLU-Pro / 9351 / Show by using Gauss' Law that the force exerted on a mass placed in a deep hole…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Show by using Gauss' Law that the force exerted on a mass placed in a deep hole in the earth is due to the matter in the spherical portion below the hole. Find the force on 1 kg at a depth of 1/4 and 1/2 of the radius of the earth, assuming that the density of the earth is constant.
category
physics
options
- 5.95 Newton's, 3.7 Newton's
- 6.25 Newton's, 3.9 Newton's
- 6.75 Newton's, 4.2 Newton's
- 7.35 Newton's, 4.9 Newton's
- 8.00 Newton's, 5.8 Newton's
- 7.85 Newton's, 5.1 Newton's
- 8.45 Newton's, 5.5 Newton's
- 6.00 Newton's, 4.00 Newton's
- 9.81 Newton's, 6.45 Newton's
- 5.65 Newton's, 3.35 Newton's
src
stemez-Mechanics
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Source and history
- upstream_id / Original problem ID
- 9351
- task_id
d6722d17-913f-5a8f-b42f-eacb6d567939- task_key
default--test--9351- task_revision_id
- 1
- config / split
- default / test
initial import