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MMLU-Pro / 10095 / The acceleration of the mass of a spring-mass system is given as a function of…

Problem

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

question

The acceleration of the mass of a spring-mass system is given as a function of the displacement: a (x) = - (k/m)x. If the mass is started from rest at a displacement of - \rho determine the velocity of the mass as a function of the displacement.

category

physics

options

  1. v^2 = ( ho - x^2) (k/m)
  2. v^2 = ( ho^2 + x^2) (k/m)
  3. v = √((ρ^2 / x) (k/m))
  4. v^2 = (ρ^2 * x^2) (k/m)
  5. v = √((ρ + x^2) (k/m))
  6. v^2 = ( ho^2 - x^2) (k/m)
  7. v^2 = (2ρ^2 - x^2) (k/m)
  8. v^2 = ρ(k/m) - x^2
  9. v^2 = (ρ^2 + 2x^2) (k/m)
  10. v^2 = ( ho^2 - x) (k/m)

src

stemez-Mechanics

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Source and history

upstream_id / Original problem ID
10095
task_id
ea0a64cf-ed00-5f90-9e10-82356b98a2ff
task_key
default--test--10095
task_revision_id
1
config / split
default / test

Official source

initial import