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MMLU-Pro / 10007 / Count Rumford observed that using cannon boring machinery a single horse could…

Problem

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

question

Count Rumford observed that using cannon boring machinery a single horse could heat $11.6 \mathrm{~kg}$ of ice water $(T=273 \mathrm{~K})$ to $T=355 \mathrm{~K}$ in 2.5 hours. Assuming the same rate of work, how high could a horse raise a $225 \mathrm{~kg}$ weight in 2.5 minutes? Assume the heat capacity of water is $4.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~g}^{-1}$.
Plain-text mathematical notation (without MathML)
Count Rumford observed that using cannon boring machinery a single horse could heat $11.6 \mathrm{~kg}$ of ice water $(T=273 \mathrm{~K})$ to $T=355 \mathrm{~K}$ in 2.5 hours. Assuming the same rate of work, how high could a horse raise a $225 \mathrm{~kg}$ weight in 2.5 minutes? Assume the heat capacity of water is $4.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~g}^{-1}$.
Original LaTeX notation
Count Rumford observed that using cannon boring machinery a single horse could heat $11.6 \mathrm{~kg}$ of ice water $(T=273 \mathrm{~K})$ to $T=355 \mathrm{~K}$ in 2.5 hours. Assuming the same rate of work, how high could a horse raise a $225 \mathrm{~kg}$ weight in 2.5 minutes? Assume the heat capacity of water is $4.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~g}^{-1}$.

category

physics

options

  1. 30$\mathrm{~m}$
  2. 20 $\mathrm{~m}$
  3. 45 $\mathrm{~m}$
  4. 25 m
  5. 40 m
  6. 50 m
  7. 35 $\mathrm{~m}$
  8. 10 m
  9. 60 m
  10. 15 m

src

scibench-thermo

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Source and history

upstream_id / Original problem ID
10007
task_id
14e5cf3c-50ff-5671-89d4-829ff74c9f83
task_key
default--test--10007
task_revision_id
1
config / split
default / test

Official source

initial import