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MMLU-Pro / 10183 / A rocket has an initial mass of 7 times 10^4 mathrm{~kg} and on firing burns…

Problem

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

question

A rocket has an initial mass of $7 \times 10^4 \mathrm{~kg}$ and on firing burns its fuel at a rate of 250 kg/s\mathrm{kg} / \mathrm{s}. The exhaust velocity is $2500 \mathrm{~m} / \mathrm{s}$. If the rocket has a vertical ascent from resting on the earth, how long after the rocket engines fire will the rocket lift off? What is wrong with the design of this rocket?
Plain-text mathematical notation (without MathML)
A rocket has an initial mass of $7 \times 10^4 \mathrm{~kg}$ and on firing burns its fuel at a rate of 250 kg/s. The exhaust velocity is $2500 \mathrm{~m} / \mathrm{s}$. If the rocket has a vertical ascent from resting on the earth, how long after the rocket engines fire will the rocket lift off? What is wrong with the design of this rocket?
Original LaTeX notation
A rocket has an initial mass of $7 \times 10^4 \mathrm{~kg}$ and on firing burns its fuel at a rate of 250 $\mathrm{kg} / \mathrm{s}$. The exhaust velocity is $2500 \mathrm{~m} / \mathrm{s}$. If the rocket has a vertical ascent from resting on the earth, how long after the rocket engines fire will the rocket lift off? What is wrong with the design of this rocket?

category

physics

options

  1. 50$\mathrm{~s}$
  2. 45$\mathrm{~s}$
  3. 30$\mathrm{~s}$
  4. 20$\mathrm{~s}$
  5. 35$\mathrm{~s}$
  6. 10$\mathrm{~s}$
  7. 25$\mathrm{~s}$
  8. 28$\mathrm{~s}$
  9. 15$\mathrm{~s}$
  10. 40$\mathrm{~s}$

src

scibench-class

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Source and history

upstream_id / Original problem ID
10183
task_id
8ac1538b-bc2c-5e4e-b23a-4869ba24229c
task_key
default--test--10183
task_revision_id
1
config / split
default / test

Official source

initial import