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MMLU-Pro / 9959 / A spacecraft of mass 10,000 mathrm{~kg} is parked in a circular orbit …

Problem

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

question

A spacecraft of mass $10,000 \mathrm{~kg}$ is parked in a circular orbit $200 \mathrm{~km}$ above Earth's surface. What is the minimum energy required (neglect the fuel mass burned) to place the satellite in a synchronous orbit (i.e., τ=24hr\tau=24 \mathrm{hr} )?
Plain-text mathematical notation (without MathML)
A spacecraft of mass $10,000 \mathrm{~kg}$ is parked in a circular orbit $200 \mathrm{~km}$ above Earth's surface. What is the minimum energy required (neglect the fuel mass burned) to place the satellite in a synchronous orbit (i.e., τ=24hr )?
Original LaTeX notation
A spacecraft of mass $10,000 \mathrm{~kg}$ is parked in a circular orbit $200 \mathrm{~km}$ above Earth's surface. What is the minimum energy required (neglect the fuel mass burned) to place the satellite in a synchronous orbit (i.e., $\tau=24 \mathrm{hr}$ )?

category

physics

options

  1. 3.56$10^{11} \mathrm{~J}$
  2. 2.20$10^{11} \mathrm{~J}$
  3. 4.12$10^{11} \mathrm{~J}$
  4. 1.50$10^{11} \mathrm{~J}$
  5. 2.01$10^{11} \mathrm{~J}$
  6. 1.89$10^{11} \mathrm{~J}$
  7. 2.75$10^{11} \mathrm{~J}$
  8. 2.98$10^{11} \mathrm{~J}$
  9. 2.57$10^{11} \mathrm{~J}$
  10. 3.24$10^{11} \mathrm{~J}$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9959
task_id
0fc37512-553a-57a2-8902-e51dd0c4e900
task_key
default--test--9959
task_revision_id
1
config / split
default / test

Official source

initial import