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MMLU-Pro / 9334 / A mass m moves in one dimension and is subject to a constant force +F₀ when…

Problem

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

question

A mass mm moves in one dimension and is subject to a constant force +F0+F_0 when x<0x<0 and to a constant force −F0-F_0 when x>0x>0. Describe the motion by constructing a phase diagram. Calculate the period of the motion in terms of m,F0m, F_0, and the amplitude AA (disregard damping) .
Plain-text mathematical notation (without MathML)
A mass m moves in one dimension and is subject to a constant force +F₀ when x<0 and to a constant force −F₀ when x>0. Describe the motion by constructing a phase diagram. Calculate the period of the motion in terms of m,F₀, and the amplitude A (disregard damping) .
Original LaTeX notation
A mass $m$ moves in one dimension and is subject to a constant force $+F_0$ when $x<0$ and to a constant force $-F_0$ when $x>0$. Describe the motion by constructing a phase diagram. Calculate the period of the motion in terms of $m, F_0$, and the amplitude $A$ (disregard damping) .

category

physics

options

  1. 2 $\sqrt{\frac{m A}{F_0}}$
  2. 6 $\sqrt{\frac{2 m A}{F_0}}$
  3. 4 $\sqrt{\frac{m A}{F_0}}$
  4. 2 $\sqrt{\frac{2 m A}{F_0}}$
  5. $\pi \sqrt{\frac{2 m A}{F_0}}$
  6. $\sqrt{\frac{8 m A}{F_0}}$
  7. 4 $\sqrt{\frac{m A}{2 F_0}}$
  8. $\sqrt{\frac{m A}{2 F_0}}$
  9. 4 $\sqrt{\frac{2 m A}{F_0}}$
  10. $\sqrt{\frac{4 m A}{F_0}}$

src

scibench-class

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Source and history

upstream_id / Original problem ID
9334
task_id
e0a015fd-7b5c-5f0c-aa7b-ac98e8ee98d2
task_key
default--test--9334
task_revision_id
1
config / split
default / test

Official source

initial import