Module 23: The Lorentz Transformationâ€” Exercise 1a & Exercise 1b
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Question 1 of 2
1. Question
Two coordinate systems are moving relative to one another with speed $v= \frac{99}{101}c$, such that their origins ($(t,x)=(0,0)$ and $(t^\prime,x^\prime)=(0,0)$) coincide. An observer in the first frame reports that a firecracker exploded at $(t,x)=(139,101)$. Where and when will an observer in the second frame claim that the firecracker exploded? (Assume we are using units so that $c=1$, and round your answers to nearest whole number.)
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Question 2 of 2
2. Question
Two coordinate systems are moving relative to one another such that their origins ($(t,x)=(0,0)$ and $(t^\prime,x^\prime)=(0,0)$) coincide. An observer in the first frame reports that a firecracker exploded at $(t,x)=(35,25)$ while an observer in the second frame reports that the firecracker exploded at $(t^\prime,x^prime)=(25,5)$. What is the velocity of the second frame relative to the first? (Assume we are using units so that $c=1$, and round your answers to nearest whole number.)
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