Special Relativity Notes

Special Relativity Notes - Physics 8B Special Relativity...

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Unformatted text preview: Physics 8B - Special Relativity Two equations you need to know for the second midterm (April 15, 2010): 1. Time dilation : time goes slower in the moving frame Therefore, the time period in the moving frame is shorter than the time period measured in static frame (Earth’s frame) Δ? ′ = Δ? 1 − ? 2 2 2. Length contraction : - If the object has a length (e.g. a rod) and it is moving along its long side, then the object’s length is shortened in its frame. The other dimensions of the objects are unchanged. - Likewise, the distance the object travels is also shorter in its frame than in the static (Earth’s) frame. Δ? ′ = Δ? 1 − ? 2 2 Define: = 1 ¡ 1 − ? 2 2 Notice that since ? < 1 , the denominator is always less than 1, thus is always greater than 1. When you’re confused whether you should multiply or divide a quantity by , just think of how it takes less time to travel and the distance seems shorter when you increase your speed. (Of it takes less time to travel and the distance seems shorter when you increase your speed....
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Special Relativity Notes - Physics 8B Special Relativity...

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