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MMLU-Pro / 9847 / Include air resistance proportional to the square of the ball's speed in the…

Problem

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

question

Include air resistance proportional to the square of the ball's speed in the previous problem. Let the drag coefficient be cW=0.5c_W=0.5, the softball radius be $5 \mathrm{~cm}$ and the mass be $200 \mathrm{~g}$. Find the initial speed of the softball needed now to clear the fence.
Plain-text mathematical notation (without MathML)
Include air resistance proportional to the square of the ball's speed in the previous problem. Let the drag coefficient be c_(W)=0.5, the softball radius be $5 \mathrm{~cm}$ and the mass be $200 \mathrm{~g}$. Find the initial speed of the softball needed now to clear the fence.
Original LaTeX notation
Include air resistance proportional to the square of the ball's speed in the previous problem. Let the drag coefficient be $c_W=0.5$, the softball radius be $5 \mathrm{~cm}$ and the mass be $200 \mathrm{~g}$. Find the initial speed of the softball needed now to clear the fence.

category

physics

options

  1. 40.7$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  2. 37.9$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  3. 35.2$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  4. 28.7$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  5. 22.5$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  6. 32.4$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  7. 48.6$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  8. 30.5$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  9. 45.3$\mathrm{~m} \cdot \mathrm{s}^{-1}$
  10. 25.1$\mathrm{~m} \cdot \mathrm{s}^{-1}$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9847
task_id
3e749e42-296c-5452-b141-49f3bf3d0948
task_key
default--test--9847
task_revision_id
1
config / split
default / test

Official source

initial import