Fall 07 Phys 143l HW 3 Solutions

Fall 07 Phys 143l HW 3 Solutions - P a g e | 1 3 Physics...

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Unformatted text preview: P a g e | 1 3 Physics 143 Fall Term 2007 HOMEWORK 3 Due: September 17 Problem 1: (BFG Ch.2 Problem 18) A relativistic pole-vaulter holds a pole that is 16ft long in his rest frame. He runs with the pole aligned in the direction of his motion with a speed such that 1 v /c 1/2 . He approaches a shed that, in its rest frame, is 8ft long. An observer at rest relative to the shed sees the pole as being only 8ft long and arranges for gates at the two ends of the shed to slam shut as soon as the front of the pole reaches the far interior end of the shed. This observer sees the entire pole within the shed. On the other hand, the runner sees the shed as having a length of 4ft and is worried that 12ft of his pole will be amputated when the gates shut. Should he be worried? Answer this question by thinking carefully about just when each of the poles ends arrives at the front and rear end of the shed in each of the two frames. Dont worry about what happens to the unfortunate pole-vaulter immediately after the gates shut; remember, this is just a thought experiment! 1 1 v /c 2 Let the shed in the frame S and the vaulter in the frame S In Frame S, two gates slam shut SIMULTANEOUSLY: t A t B In Frame S, we could introduce Lorentz Transform to this problem:...
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Fall 07 Phys 143l HW 3 Solutions - P a g e | 1 3 Physics...

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