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MMLU-Pro / 7877 / Suppose that 2 mathrm{~J} of work is needed to stretch a spring from its…

Problem

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

question

Suppose that $2 \mathrm{~J}$ of work is needed to stretch a spring from its natural length of $30 \mathrm{~cm}$ to a length of $42 \mathrm{~cm}$. How far beyond its natural length will a force of $30 \mathrm{~N}$ keep the spring stretched?
Plain-text mathematical notation (without MathML)
Suppose that $2 \mathrm{~J}$ of work is needed to stretch a spring from its natural length of $30 \mathrm{~cm}$ to a length of $42 \mathrm{~cm}$. How far beyond its natural length will a force of $30 \mathrm{~N}$ keep the spring stretched?
Original LaTeX notation
Suppose that $2 \mathrm{~J}$ of work is needed to stretch a spring from its natural length of $30 \mathrm{~cm}$ to a length of $42 \mathrm{~cm}$. How far beyond its natural length will a force of $30 \mathrm{~N}$ keep the spring stretched?

category

math

options

  1. 13.5 $\mathrm{cm}$
  2. 18.0 $\mathrm{cm}$
  3. 8.4 $\mathrm{cm}$
  4. 12.0 $\mathrm{cm}$
  5. 14.4 $\mathrm{cm}$
  6. 10.8 $\mathrm{cm}$
  7. 20.4 $\mathrm{cm}$
  8. 9.6 $\mathrm{cm}$
  9. 21.6 $\mathrm{cm}$
  10. 16.2 $\mathrm{cm}$

src

scibench-calculus

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Source and history

Official source

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