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Problem 18 Easy Difficulty

A spaceship is moving at a constant velocity of $0.70 c$ relative to an Earth observer. The Earth observer measures the length of the spaceship to be $40.0 \mathrm{m}$. How long is the spaceship as measured by its pilot?

Answer

$$56.0 \mathrm{m}$$

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Video Transcript

Okay, so the question was asking us the land there was measured buys on pine. It's well, we know our people. L zero comma and out is the land that was measured, measured by the earth observer. Aldo is is the one we're looking for, which is one that's there was measure vice on islands Come I still Lawrence Factor, which is a good one over square rule one month's free score overseas where basis speed off the spaceship and C is the speed of light it would lose on arrangement will have Algeria's government. Turns out we just our over squarely woman's re square overseas where we know out is for the 48.2 meter and basically with 0.70 c and C is the speed of light. So you free clocking in the numbers we have zero is equal to 40.0 meter over square root. Wow. Minus 0.70 c. It's where over C square. Okay. And this is equal to 56 millimeter. Okay, so that's the lens that'll be measured by his own pilots. Okay. And this just my answer for this question. Thank you.

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