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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9897▌ posts · files
MMLU-Pro / 9897 / Two inertial systems S and S' have a common x-axis and parallel y-axis, and S'…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Two inertial systems S and S' have a common x-axis and parallel y-axis, and S' moves with a speed of 0.6c relative to S in the direction of the x-axis. An observer in S sees a rocket moving with a speed of 0.1c in the positive y-direction. What is the speed and direction of the rocket as seen by an observer in the S'-system?
category
physics
options
- 0.2c in the positive y-direction and 0.6c in the negative x-direction resulting from vector addition
- 0.605c in a direction making an angle of 7°36' with the negative direction of the x-axis
- 0.7c in a direction making an angle of 8° with the negative direction of the x-axis
- 0.5c in a direction making an angle of 15° with the positive direction of the y-axis
- 0.1c in the positive y-direction with no change in velocity due to the relative movement of S'
- 0.6c in a direction making an angle of 10° with the negative direction of the x-axis
- 0.7c in a direction making an angle of 20° with the positive direction of the y-axis
- 0.68c in a direction making an angle of 11° with the positive direction of the x-axis
- 0.5c in a direction making an angle of 5° with the negative direction of the x-axis
- 0.605c in the positive y-direction without any angular deviation
src
stemez-Physics
Discussion
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Source and history
- upstream_id / Original problem ID
- 9897
- task_id
972180ed-3c02-5220-aa11-f772ec30c8a9- task_key
default--test--9897- task_revision_id
- 1
- config / split
- default / test
initial import