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MMLU-Pro / 8324 / Find the work done by a force …

Problem

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

question

Find the work done by a force F=8i−6j+9k\mathbf{F}=8 \mathbf{i}-6 \mathbf{j}+9 \mathbf{k} that moves an object from the point (0,10,8)(0,10,8) to the point (6,12,20)(6,12,20) along a straight line. The distance is measured in meters and the force in newtons.
Plain-text mathematical notation (without MathML)
Find the work done by a force F=8i−6j+9k that moves an object from the point (0,10,8) to the point (6,12,20) along a straight line. The distance is measured in meters and the force in newtons.
Original LaTeX notation
Find the work done by a force $\mathbf{F}=8 \mathbf{i}-6 \mathbf{j}+9 \mathbf{k}$ that moves an object from the point $(0,10,8)$ to the point $(6,12,20)$ along a straight line. The distance is measured in meters and the force in newtons.

category

math

options

  1. 144 $\mathrm{J}$
  2. 172 J
  3. 180 $\mathrm{J}$
  4. 168 J
  5. 132 J
  6. 160 $\mathrm{J}$
  7. 120 $\mathrm{J}$
  8. 156 J
  9. 200 J
  10. 210 J

src

scibench-calculus

Discussion

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Source and history

upstream_id / Original problem ID
8324
task_id
92be19de-f323-52c8-9dbe-f5543cd8569e
task_key
default--test--8324
task_revision_id
1
config / split
default / test

Official source

initial import