ProblemSet3

# ProblemSet3 - Problem Set 3 Physics 2216 Due Thursday 1...

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Problem Set 3 Physics 2216 : Due Thursday, 02/02/2012 1. Today we learnt about the Lorentz transformations in class - it turns out that it is fairly straightforward to derive the Lorentz transformations with a bit of effort and some wisely selected examples. It is rewarding to do, which is why I’ve saved it for a problem set question instead of doing it in class. In class, we showed that the Lorentz transformations must have the linear form : x 0 = Ax + Bt y 0 = y z 0 = z t 0 = Cx + Dt assuming that Frame II (the primed frame) is moving along the x -axis relative to Frame I (the unprimed frame). For argument’s sake, let’s assume Frame I is the ground, and Frame II is an airplane moving at a velocity + v along the x -axis, relative to the ground. Again, let’s assume that the position of the airplane (let’s assume that the plane is the origin of the airplane’s reference frame) coincides with the origin of the ground frame at t = t 0 = 0, i.e. assume that x = x 0 = 0 at t = t 0 = 0.

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