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MMLU-Pro / 9127 / You wish to put a 1000-kg satellite into a circular orbit 300 km above the…

Problem

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

question

You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. How much work must be done to the satellite to put it in orbit? 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: 10^10 J)
Plain-text mathematical notation (without MathML)
You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. How much work must be done to the satellite to put it in orbit? The earth's radius and mass are $R_E}=$ 6.38×10⁶m and m_(E)=5.97×10²⁴kg. (Unit: 10^10 J)
Original LaTeX notation
You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. How much work must be done to the satellite to put it in orbit? 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: 10^10 J)

category

physics

options

  1. 2.50
  2. 3.98
  3. 3.26
  4. 2.75
  5. 5.00
  6. 6.15
  7. 1.92
  8. 4.50
  9. 4.82
  10. 7.30

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9127
task_id
810cc6bd-e414-5030-8772-78bcfa85cbe1
task_key
default--test--9127
task_revision_id
1
config / split
default / test

Official source

initial import