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MMLU-Pro / 9142 / Shot towers were popular in the eighteenth and nineteenth centuries for dropping…

Problem

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

question

Shot towers were popular in the eighteenth and nineteenth centuries for dropping melted lead down tall towers to form spheres for bullets. The lead solidified while falling and often landed in water to cool the lead bullets. Many such shot towers were built in New York State. Assume a shot tower was constructed at latitude 42∘N42^{\circ} \mathrm{N}, and the lead fell a distance of $27 \mathrm{~m}$. In what direction and how far did the lead bullets land from the direct vertical?
Plain-text mathematical notation (without MathML)
Shot towers were popular in the eighteenth and nineteenth centuries for dropping melted lead down tall towers to form spheres for bullets. The lead solidified while falling and often landed in water to cool the lead bullets. Many such shot towers were built in New York State. Assume a shot tower was constructed at latitude 42^(∘)N, and the lead fell a distance of $27 \mathrm{~m}$. In what direction and how far did the lead bullets land from the direct vertical?
Original LaTeX notation
Shot towers were popular in the eighteenth and nineteenth centuries for dropping melted lead down tall towers to form spheres for bullets. The lead solidified while falling and often landed in water to cool the lead bullets. Many such shot towers were built in New York State. Assume a shot tower was constructed at latitude $42^{\circ} \mathrm{N}$, and the lead fell a distance of $27 \mathrm{~m}$. In what direction and how far did the lead bullets land from the direct vertical?

category

physics

options

  1. 1.89 $\mathrm{~mm}$
  2. 3.52 $\mathrm{~mm}$
  3. 5.14 mm directly south due to Coriolis effect
  4. 2.68 $\mathrm{~mm}$
  5. 3.02 mm to the North due to Earth's rotation
  6. 1.15 mm to the West due to Earth's rotation
  7. 2.26 $\mathrm{~mm}$
  8. 6.33 mm to the South-East due to combined effects of Earth's rotation and prevailing winds
  9. 4.73 mm to the East due to Earth's rotation
  10. 0.76 mm to the East due to local wind conditions

src

scibench-class

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Source and history

upstream_id / Original problem ID
9142
task_id
f70e2bbb-5a0a-5a19-8641-f2d518eb9c69
task_key
default--test--9142
task_revision_id
1
config / split
default / test

Official source

initial import