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MMLU-Pro / 9138 / An Earth satellite has a perigee of 300 mathrm{~km} and an apogee of …

Problem

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

question

An Earth satellite has a perigee of $300 \mathrm{~km}$ and an apogee of $3,500 \mathrm{~km}$ above Earth's surface. How far is the satellite above Earth when it has rotated 90∘90^{\circ} around Earth from perigee?
Plain-text mathematical notation (without MathML)
An Earth satellite has a perigee of $300 \mathrm{~km}$ and an apogee of $3,500 \mathrm{~km}$ above Earth's surface. How far is the satellite above Earth when it has rotated 90^(∘) around Earth from perigee?
Original LaTeX notation
An Earth satellite has a perigee of $300 \mathrm{~km}$ and an apogee of $3,500 \mathrm{~km}$ above Earth's surface. How far is the satellite above Earth when it has rotated $90^{\circ}$ around Earth from perigee?

category

physics

options

  1. 2100 $\mathrm{~km}$
  2. 1700 $\mathrm{~km}$
  3. 2200 $\mathrm{~km}$
  4. 950 $\mathrm{~km}$
  5. 2750 $\mathrm{~km}$
  6. 1800 $\mathrm{~km}$
  7. 3000 $\mathrm{~km}$
  8. 3500 $\mathrm{~km}$
  9. 1590$\mathrm{~km}$
  10. 1250 $\mathrm{~km}$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9138
task_id
ac9d5218-30e7-5b23-b4ee-1e12b4c8ec90
task_key
default--test--9138
task_revision_id
1
config / split
default / test

Official source

initial import