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Manfra5 - Course Business PHYS342 Lecture 5 Due Friday Jan...

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Course Business: PHYS342 Lecture 5 Due Friday Jan 28th in class Problem set 2 From Modern Physics chapter 2: Problems: 12 through 17 and 19 through 21 and problem 23
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Let’s be precise in our definitions! Events and Spacetime Coordinates: An event is any physical occurrence that happens at a definite place in space and at a definite instant in time. The event’s spacetime coordinates are the 4 numbers that specify where and when an event took place: 3 spatial coordinates (x, y, z) and 1 for time. A reference frame’s fundamental task is to provide a means of measuring the spacetime coordinates of events.
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2 2 v 1 v / x t x c - = - 2 2 2 v / 1 v / t x c t c - = - y y = z z = The complete Lorentz Transformation If v << c , i.e., β ≈ 0 and γ ≈ 1, yielding the familiar Galilean transformation. Space and time are now linked, and the frame velocity cannot exceed c . 2 2 v 1 v / x t x c + = - 2 2 2 v / 1 v / t x c t c + = - y y = z z = Length contractio n Simultaneit y problems Time dilation
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Simultaneity Timing events occurring in different places can be tricky. Depending on how they’re measured, different events will be perceived in different orders by different observers. Due to the finite speed of light, the order in which these two events will be seen will depend on the observer’s position . The time intervals will be: Fred: - 2 L/c ; Frank: 0 ; Fil: +2 L/c But this obvious position-related simultaneity problem disappears if Fred and Fil have synchronized watches .
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