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Unformatted text preview: 1 PHY3221 Detweiler Lecture #2 Relativity Length Contraction The effect of time dilation, discussed in the previous lecture, seems self-contradictory? How can Alice say that Bobs clock runs too slowly, while Bob is saying that Alices clock runs too slowly given a situation between the two which appears to be completely symmetrical? This conundrum brings us to what is commonly called the twin paradox which we will discuss later. First lets look at an apparent paradox caused by having Alices and Bobs clocks running at different rates. Alice is still in the train going through Bobs station. Assume that Alices speed is v = 3 c/ 5 = 0 . 6 c so that p 1- v 2 /c 2 = 1- . 36 = . 64 = 0 . 8 = 4 / 5 . This makes the arithmetic work out nicely. Alice and Bob have arranged the following experiment ahead of time. When Alice reaches the front of the platform she starts her clock and also leans out the train window with a paint brush and marks the front of the platform. Call this event #1. Exactly 1paint brush and marks the front of the platform....
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This note was uploaded on 12/15/2011 for the course PHY 3221 taught by Professor Chan during the Spring '08 term at University of Florida.
- Spring '08