A new spaceship is created which can travel so fast that y=20. It travels from Earth to Andromeda. Estimate the distance measured by the astronaut inside the ship.

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A new spaceship is created which can travel so fast that y=20. It travels from Earth to
Andromeda. Estimate the distance measured by the astronaut inside the ship.
Transcribed Image Text:A new spaceship is created which can travel so fast that y=20. It travels from Earth to Andromeda. Estimate the distance measured by the astronaut inside the ship.
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Concept and Principle:
  • When distance or length is measured from a moving frame the measured length will be slower than the length measured in a rest frame. This effect is called length contraction. The length measured in the rest frame is called proper length.

 

  • Length contraction is given by,

L=L01v2c2

Here L0 is the proper length, v is the relative speed, and c is the speed of light.

 

  • This can also be expressed in terms of the Lorentz factor as,

L=L0γ

Here γ is the Lorentz factor.

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