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MMLU-Pro / 8096 / For small, slowly falling objects, the assumption made in the text that the drag…

Problem

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question

For small, slowly falling objects, the assumption made in the text that the drag force is proportional to the velocity is a good one. For larger, more rapidly falling objects, it is more accurate to assume that the drag force is proportional to the square of the velocity.  If m = 10 kg, find the drag coefficient so that the limiting velocity is 49 m/s.

category

math

options

  1. $\frac{8}{49}$
  2. $\frac{6}{49}$
  3. $\frac{1}{7}$
  4. $\frac{2}{49}$
  5. $\frac{5}{49}$
  6. $\frac{7}{49}$
  7. $\frac{1}{49}$
  8. $\frac{1}{98}$
  9. $\frac{3}{49}$
  10. $\frac{4}{49}$

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8096
task_id
15f6de4e-5128-5b54-b588-d30bbd80cdf2
task_key
default--test--8096
task_revision_id
1
config / split
default / test

Official source

initial import