Two clocks are synced on Earth. A ship takes one of the clocks during it journey and comes back. The clock on the ship is observed to run at a speed of only 2/5 that of a similar clock at rest on Earth. Calculate the velocity of the ship during its journey.
Two clocks are synced on Earth. A ship takes one of the clocks during it journey and comes back. The clock on the ship is observed to run at a speed of only 2/5 that of a similar clock at rest on Earth. Calculate the velocity of the ship during its journey.
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Transcribed Image Text:Two clocks are synced on Earth. A ship takes one of the clocks during it journey and comes back. The clock on
the ship is observed to run at a speed of only 2/5 that of a similar clock at rest on Earth. Calculate the velocity of
the ship during its journey.
Expert Solution
Concept and Principle:
- As per special relativity time dilation could take place due to the velocity. If an object is moving very fast time measured in its frame of reference will be slower than the time measured in another frame of reference.
- The shortest time measured by the clock present at two events is called proper time. Thus using the proper time we get the formula for time dilation caused by velocity as,
Here ∆t' is the proper time, ∆t is dilated time, v is the relative velocity between the frames, and c is the speed of light.
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