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ELEN [110]
2 years ago
7

Amber took a mid-term exam in her history class. Her professor asked the class not to discuss their exams until all the grades w

ere in. She assumed this was because there was a student who'd made arrangements to take the exam on a different day. Her roommate asked her about her exam and how well she did. Amber shared how she did with some of the content because her roommate was not in the course. This would be considered
Social Studies
1 answer:
RSB [31]2 years ago
8 0

Answer:

Amber is cheating

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The object must move with the speed of \frac{\sqrt{3} }2} times to approximately seeing that it is contracted to exactly half of its actual length.

<h3>How is this calculated?</h3>

The length contraction experimented by the object as it approaches lightspeed, in meters per second, is described by Lorentz contraction formula:

\frac{L}{L'} = \sqrt{(1) - (\frac{v}{c})^{2}

Here, v is the current speed m/s

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Now we know that

\frac{L}{L'}= \frac{1}{2} and \frac{v}{c} = r then,

\frac{1}{2} = \sqrt{1 - r^{2} }\\\frac{1}{4} = 1 - r^{2}\\r^{2} = \frac{3}{4}

Hence, r = \frac{\sqrt{3} }{2}

Therefore, the answer is the object must travel at a speed of \frac{\sqrt{3} }{2} times the lightspeed to be contracted to one-half its proper length.

To know more about the Lorentz contraction formula, visit:

brainly.com/question/17407131

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