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MMLU-Pro / 9143 / To perform a rescue, a lunar landing craft needs to hover just above the surface…

Problem

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

question

To perform a rescue, a lunar landing craft needs to hover just above the surface of the moon, which has a gravitational acceleration of g/6g / 6. The exhaust velocity is $2000 \mathrm{~m} / \mathrm{s}$, but fuel amounting to only 20 percent of the total mass may be used. How long can the landing craft hover?
Plain-text mathematical notation (without MathML)
To perform a rescue, a lunar landing craft needs to hover just above the surface of the moon, which has a gravitational acceleration of g/6. The exhaust velocity is $2000 \mathrm{~m} / \mathrm{s}$, but fuel amounting to only 20 percent of the total mass may be used. How long can the landing craft hover?
Original LaTeX notation
To perform a rescue, a lunar landing craft needs to hover just above the surface of the moon, which has a gravitational acceleration of $g / 6$. The exhaust velocity is $2000 \mathrm{~m} / \mathrm{s}$, but fuel amounting to only 20 percent of the total mass may be used. How long can the landing craft hover?

category

physics

options

  1. 180 s
  2. 120 s
  3. 400 s
  4. 225 $\mathrm{~s}$
  5. 90 s
  6. 300 s
  7. 150 $\mathrm{~s}$
  8. 273 $\mathrm{~s}$
  9. 330 s
  10. 350 $\mathrm{~s}$

src

scibench-class

Discussion

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Source and history

upstream_id / Original problem ID
9143
task_id
f11fa449-9155-537e-a872-212e053ad6c7
task_key
default--test--9143
task_revision_id
1
config / split
default / test

Official source

initial import