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MMLU-Pro / 9268 / Two identical conducting spheres, fixed in place, attract each other with an…

Problem

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

question

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of $0.108 \mathrm{~N}$ when their center-to-center separation is $50.0 \mathrm{~cm}$. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of $0.0360 \mathrm{~N}$. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them?
Plain-text mathematical notation (without MathML)
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of $0.108 \mathrm{~N}$ when their center-to-center separation is $50.0 \mathrm{~cm}$. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of $0.0360 \mathrm{~N}$. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them?
Original LaTeX notation
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of $0.108 \mathrm{~N}$ when their center-to-center separation is $50.0 \mathrm{~cm}$. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of $0.0360 \mathrm{~N}$. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them?

category

physics

options

  1. $-2.00 \mu \mathrm{C}$
  2. $-2.50 \mu \mathrm{C}$
  3. $-0.50 \mu \mathrm{C}$
  4. $-1.75 \mu \mathrm{C}$
  5. $-0.75 \mu \mathrm{C}$
  6. $-1.00 \mu \mathrm{C}$$ \mu \mathrm{C}$
  7. $-0.25 \mu \mathrm{C}$
  8. $-1.50 \mu \mathrm{C}$
  9. $-3.00 \mu \mathrm{C}$
  10. $-1.25 \mu \mathrm{C}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9268
task_id
ce76c44e-ca59-55f2-914d-85e617c38496
task_key
default--test--9268
task_revision_id
1
config / split
default / test

Official source

initial import