The length of a spaceship is measured to be exactly one-third of its proper length. What is the speed of the spaceship relative to the observer?

Solution

Formula: We know that

Where L = relativistic length of the body, L_{0} is the proper or rest length, v is the relativistic velocity of the body and c is the velocity of light.

Given: Relativistic length, L = 1/3(L_{0})
Velocity of light = c

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