benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9600▌ posts · files
MMLU-Pro / 9600 / A spaceship from earth enters a circular orbit 22,000 km above the surface of…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A spaceship from earth enters a circular orbit 22,000 km above the surface of Mars at the equator, which allows it to rotate at the same speed as Mars and thus to stay always above the same point on the planet's surface. The Martians set up a guided missile directly beneath it and fire it vertically upward in an attempt to destroy the intruder. With what minimum velocity must the missile leave the surface in order to suc-ceed in its mission? Mars is a sphere of radius 3400 km and of mean density 4120 kg\bulletm^-3.
category
physics
options
- 4.8 km/s
- 4.0 km/s
- 3.5 km/s
- 5.2 km/s
- 7.1 km/s
- 5.6 km/s
- 6.5 km/s
- 2.9 km/s
- 6.0 km/s
- 3.2 km/s
src
stemez-Physics
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Source and history
- upstream_id / Original problem ID
- 9600
- task_id
43c39a57-f9e9-5fba-a0f9-4f92f7a4e7c5- task_key
default--test--9600- task_revision_id
- 1
- config / split
- default / test
initial import