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MMLU-Pro / 9741 / A bungee cord is 30.0 m long and, when stretched a distance x, it exerts a…

Problem

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

question

A bungee cord is 30.0 m long and, when stretched a distance x, it exerts a restoring force of magnitude kx. Your father-in-law (mass 95.0 kg) stands on a platform 45.0 m above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 m before the cord stops him. You had several bungee cords to select from, and you tested them by stretching them out, tying one end to a tree, and pulling on the other end with a force of 380.0 N. When you do this, what distance (in m) will the bungee cord that you should select have stretched?

category

physics

options

  1. 1.0
  2. 0.602
  3. 1.8
  4. 0.45
  5. 1.2
  6. 1.5
  7. 0.8
  8. 0.3
  9. 0.95
  10. 0.75

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
9741
task_id
885096f4-83e0-5aaa-93b5-ab935d03c5ae
task_key
default--test--9741
task_revision_id
1
config / split
default / test

Official source

initial import