benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9749▌ posts · files
MMLU-Pro / 9749 / Two point charges of 30nC and −40nC are held fixed on an…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Two point charges of and are held fixed on an axis, at the origin and at
$x=72 \mathrm{~cm}$, respectively. A particle with a charge of is released from rest at $x=28 \mathrm{~cm}$. If the initial acceleration of the particle has a magnitude of $100 \mathrm{~km} / \mathrm{s}^2$, what is the particle's mass?Plain-text mathematical notation (without MathML)
Two point charges of 30nC and −40nC are held fixed on an x axis, at the origin and at $x=72 \mathrm{~cm}$, respectively. A particle with a charge of 42μC is released from rest at $x=28 \mathrm{~cm}$. If the initial acceleration of the particle has a magnitude of $100 \mathrm{~km} / \mathrm{s}^2$, what is the particle's mass?Original LaTeX notation
Two point charges of $30 \mathrm{nC}$ and $-40 \mathrm{nC}$ are held fixed on an $x$ axis, at the origin and at $x=72 \mathrm{~cm}$, respectively. A particle with a charge of $42 \mu \mathrm{C}$ is released from rest at $x=28 \mathrm{~cm}$. If the initial acceleration of the particle has a magnitude of $100 \mathrm{~km} / \mathrm{s}^2$, what is the particle's mass?category
physics
options
- $2.2$ $10^{-6} \mathrm{~kg}$
- $2.5 \times 10^{-6} \mathrm{~kg}$
- $3.4 \times 10^{-6} \mathrm{~kg}$
- $4.2 \times 10^{-6} \mathrm{~kg}$
- $1.0 \times 10^{-6} \mathrm{~kg}$
- $1.5 \times 10^{-6} \mathrm{~kg}$
- $5.6 \times 10^{-6} \mathrm{~kg}$
- $3.0 \times 10^{-6} \mathrm{~kg}$
- $1.8 \times 10^{-6} \mathrm{~kg}$
- $2.8 \times 10^{-6} \mathrm{~kg}$
src
scibench-fund
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Source and history
- upstream_id / Original problem ID
- 9749
- task_id
79e726da-07f1-5bad-b8a2-17ab19a5af1d- task_key
default--test--9749- task_revision_id
- 1
- config / split
- default / test
initial import