Two twins, Zippy and Clem stand at rest next to each other. Here is a schematic
ID: 2076653 • Letter: T
Question
Two twins, Zippy and Clem stand at rest next to each other. Here is a schematic representation of their faces: Now Zippy gets into a futuristic space ship and Clem watches Zippy as he flies past at enormous speed. Clem has the means to measure Zippy's face and to Clem this is how Zippy's face appears: Clem also notes that Zippy's watch appears to be ticking slowly, a) Suppose that as Zippy goes past Clem, he is able to measure the appearance of Clem's face. b) Suppose also that Zippy looks at Clem's watch as he goes past. Will Zippy see that Clem's watch ticking slower, faster, or the same as his own? c) Based on the drawings, what is the approximate speed of Zippy's space ship relative to Clem?Explanation / Answer
(a) Fig. 4 represents the face that zippy will measure it appears to be contracted in same way as Clem measure.
(b) Since, wrt zippy clem is moving so its clock ticks slowly as per time dilation.
(c) one can find speed using Lorentz Contraction , L = L0 (1-v2/c2)1/2
so in his his face dimension known , in clem frame its contracted to L, so with this known one can use it to find v
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