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MMLU-Pro / 9484 / Point charges of +6.0μC and −4.0μC are placed on…

Problem

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

question

Point charges of +6.0μC+6.0 \mu \mathrm{C} and −4.0μC-4.0 \mu \mathrm{C} are placed on an xx axis, at $x=8.0 \mathrm{~m}$ and $x=16 \mathrm{~m}$, respectively. What charge must be placed at $x=24 \mathrm{~m}$ so that any charge placed at the origin would experience no electrostatic force?
Plain-text mathematical notation (without MathML)
Point charges of +6.0μC and −4.0μC are placed on an x axis, at $x=8.0 \mathrm{~m}$ and $x=16 \mathrm{~m}$, respectively. What charge must be placed at $x=24 \mathrm{~m}$ so that any charge placed at the origin would experience no electrostatic force?
Original LaTeX notation
Point charges of $+6.0 \mu \mathrm{C}$ and $-4.0 \mu \mathrm{C}$ are placed on an $x$ axis, at $x=8.0 \mathrm{~m}$ and $x=16 \mathrm{~m}$, respectively. What charge must be placed at $x=24 \mathrm{~m}$ so that any charge placed at the origin would experience no electrostatic force?

category

physics

options

  1. $-50$ $\mu \mathrm{C}$
  2. $-40$ $\mu \mathrm{C}$
  3. $-30$ $\mu \mathrm{C}$
  4. $+30$ $\mu \mathrm{C}$
  5. $+60$ $\mu \mathrm{C}$
  6. $-60$ $\mu \mathrm{C}$
  7. $+45$ $\mu \mathrm{C}$
  8. $+50$ $\mu \mathrm{C}$
  9. $-45$ $\mu \mathrm{C}$
  10. $-75$ $\mu \mathrm{C}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9484
task_id
0982c58a-c97b-5b39-b80b-ab433a25ff7b
task_key
default--test--9484
task_revision_id
1
config / split
default / test

Official source

initial import