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MMLU-Pro / 9273 / A particle of mass m is repelled from the origin by a force f = k/x^3 where x is…

Problem

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

question

A particle of mass m is repelled from the origin by a force f = k/x^3 where x is the distance from the origin. Solve the equation of motion if the particle is initially at rest at a distance x_0 from the origin.

category

physics

options

  1. x = [x^2_0 + (kt^2/mx^2_0)]^1/2
  2. x = [x^2_0 - (kt^2/mx^2_0)]^1/2
  3. x = [(x^2_0)^2 - (kt^2/m)]^1/4
  4. x = [x^2_0 - (kt^2/mx^2_0)]^-1/2
  5. x = [x^2_0 - (2kt^2/m)]^1/2
  6. x = [(x^2_0)^2 + (kt^2/m)]^1/4
  7. x = [x^2_0 - (kt/mx^2_0)^2]^1/2
  8. x = [x^2_0 + (kt/mx^2_0)^2]^1/2
  9. x = [x^2_0 + (kt^2/mx^2_0)]^-1/2
  10. x = [x^2_0 + (2kt^2/m)]^1/2

src

stemez-Mechanics

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Source and history

upstream_id / Original problem ID
9273
task_id
888630f2-745b-5e51-9630-9e4503f6e6b8
task_key
default--test--9273
task_revision_id
1
config / split
default / test

Official source

initial import