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A spaceship has a proper length of 120 m. If it moves at 0.8c relative to Earth, what is its proper length?

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At a glance

MCQ

Type

practice

Style

Topic

Special relativity

Exam-style question

Try this first

A spaceship has a proper length of 120 m. If it moves at 0.8c relative to Earth, what is its proper length?.

  1. A.120 m
  2. B.96 m
  3. C.0.8c
  4. D.0.6c

Model answer

What a good answer should say

  • 120 m

Explanation

Why this works

Formula: L = L0 √(1 - v²/c²). Substitution: L0 is the proper length.

Working: L = L0 √(1 - v²/c²). Since L0 is given, the proper length remains 120 m.

Units: m. Conclusion: The proper length is 120 m.

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