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MMLU-Pro / 9442 / In Jules Verne's 1865 story with this title, three men went to the moon in a…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

In Jules Verne's 1865 story with this title, three men went to the moon in a shell fired from a giant cannon sunk in the earth in Florida. Find the minimum muzzle speed that would allow a shell to escape from the earth completely (the escape speed). Neglect air resistance, the earth's rotation, and the gravitational pull of the moon. The earth's radius and mass are $R_E}=$ 6.38×106m6.38 \times 10^6 m and mE=5.97×1024kgm_E=5.97 \times 10^{24} kg. (Unit: 10 ^ 4 m/s)
Plain-text mathematical notation (without MathML)
In Jules Verne's 1865 story with this title, three men went to the moon in a shell fired from a giant cannon sunk in the earth in Florida. Find the minimum muzzle speed that would allow a shell to escape from the earth completely (the escape speed). Neglect air resistance, the earth's rotation, and the gravitational pull of the moon. The earth's radius and mass are $R_E}=$ 6.38×10⁶m and m_(E)=5.97×10²⁴kg. (Unit: 10 ^ 4 m/s)
Original LaTeX notation
In Jules Verne's 1865 story with this title, three men went to the moon in a shell fired from a giant cannon sunk in the earth in Florida. Find the minimum muzzle speed that would allow a shell to escape from the earth completely (the escape speed). Neglect air resistance, the earth's rotation, and the gravitational pull of the moon. The earth's radius and mass are $R_E}=$ $6.38 \times 10^6 m$ and $m_E=5.97 \times 10^{24} kg$. (Unit: 10 ^ 4 m/s)

category

physics

options

  1. 1.57
  2. 1.03
  3. 1.12
  4. 2.72
  5. 0.98
  6. 0.86
  7. 2.38
  8. 2.00
  9. 1.84
  10. 2.15

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9442
task_id
247da7e7-0e38-5c9f-abf7-4d737570cd2b
task_key
default--test--9442
task_revision_id
1
config / split
default / test

Official source

initial import