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MMLU-Pro / 9604 / A rocket has a length L = 600 m measured at rest on the earth. It moves directly…

Problem

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

question

A rocket has a length L = 600 m measured at rest on the earth. It moves directly away from the earth at constant velocity, and a pulse of radar is sent from earth and reflected back by devices at the nose and tail of the rocket. The reflected signal from the tail is detected on earth 200 sec after emission and the signal from the nose 17.4 × 10^-6 sec later. Calculate the distance of the rocket from the earth and the velocity of the rocket with respect to the earth.

category

physics

options

  1. R = 3.2 × 10^10 m, v = 2.40 × 10^8 m/sec
  2. R = 2 × 10^10 m, v = 1.63 × 10^8 m/sec
  3. R = 3.5 × 10^10 m, v = 2.50 × 10^8 m/sec
  4. R = 4.5 × 10^10 m, v = 3.00 × 10^8 m/sec
  5. R = 2.5 × 10^10 m, v = 2.00 × 10^8 m/sec
  6. R = 1.5 × 10^10 m, v = 1.50 × 10^8 m/sec
  7. R = 4 × 10^10 m, v = 2.63 × 10^8 m/sec
  8. R = 1 × 10^10 m, v = 1.13 × 10^8 m/sec
  9. R = 3 × 10^10 m, v = 2.13 × 10^8 m/sec
  10. R = 2.8 × 10^10 m, v = 1.90 × 10^8 m/sec

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
9604
task_id
2a9cf030-345d-5024-81cb-5688692b99d4
task_key
default--test--9604
task_revision_id
1
config / split
default / test

Official source

initial import