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What speed would the spaceship have to travel for its relative length to be half its “proper” length

Given:

Lo = 67m

L = 33.5

Required:

v

Analysis:

L = (Lo)(sqr(1-(v^2)/(c^2)))

Now, I calculate v = sqr((1-(L/Lo)^2)(c^2)) however that gives me an non-real anwer. Clearly my algebra is lacking somewhere.

Can anyone help me form a proper equation for this?

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# Homework Help: Proper Length

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