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MMLU-Pro / 9553 / The mass of one of the small spheres of a Cavendish balance is 0.0100 kg, the…

Problem

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

question

The mass of one of the small spheres of a Cavendish balance is 0.0100 kg, the mass of the nearest large sphere is 0.500 kg, and the center-to-center distance between them is 0.0500 m. Assuming the gravitational force on each sphere due to the other is $X * 10^{-10}$ N, what is X?
Plain-text mathematical notation (without MathML)
The mass of one of the small spheres of a Cavendish balance is 0.0100 kg, the mass of the nearest large sphere is 0.500 kg, and the center-to-center distance between them is 0.0500 m. Assuming the gravitational force on each sphere due to the other is $X * 10^{-10}$ N, what is X?
Original LaTeX notation
The mass of one of the small spheres of a Cavendish balance is 0.0100 kg, the mass of the nearest large sphere is 0.500 kg, and the center-to-center distance between them is 0.0500 m. Assuming the gravitational force on each sphere due to the other is $X * 10^{-10}$ N, what is X?

category

physics

options

  1. 2.67
  2. 1.33
  3. 0.89
  4. 1.75
  5. 1.50
  6. 0.67
  7. 3.00
  8. 0.50
  9. 2.10
  10. 2.45

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9553
task_id
9c62b655-e58e-55df-827b-027ef5f68b8d
task_key
default--test--9553
task_revision_id
1
config / split
default / test

Official source

initial import