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# In the preceding exercise, if the stick is moving in a direction along its length (like a properly thrown spear), how long will you measure its length to be?

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In the problem it is assumed that the stick has $p = 2 p_{0}$ where we have denoted classical momentum $p_{0} = mv$. The relativistic momentum is given by

$p = \gamma mv$

so we can conclude that $\gamma = 2$. The length contraction is given by the formula

$L = \frac{L_{0}}{\gamma}$

and we are given that the length of the stick was $L_{0} = 1m$. Thus we conclude that we would measure the stick to be

$L = 0.5m$

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