2010 PHYSICS 002C Lecture 20

2010 PHYSICS 002C Lecture 20 - PHYSICS 002C Lecture 20 May...

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PHYSICS 002C Lecture 20 May 14, 2010 Serway and Jewett Chapter 9.5-9 – Relativity Q . A proper time interval T P is the time difference between two events measured in an inertial reference frame for which the two events occur at a) distinct spatial coordinates b) homologous times c) the same spatial coordinate d) distinct time coordinates e) the same bandin coordinate. T P is only defined for events that occur on a possible space-time trajectory of a real massive particle. Q . The proper distance L P is the distance measured between two objects that are a) nodulating in the inertial reference frame of the observer making the measurement; b) both stationary in the inertial reference of the observer making the measurement; c) moving with velocity c in the inertial reference frame of the observer making the measurement; d) orthogonal to the inertial reference frame of the observer making the measurement; e) both relative to the inertial reference frame of the observer making the measurement; Q. If two objects are moving relative to one another, the proper distance between them is a) exact; b) differentiable; c) not defined; d) precisely defined; e) determined by a Lorentz transformation. Q. What is the proper length of a meter stick traveling at half the speed of light? Note that the Lorentz dilation factor is 1 1 2 / 1 2 2 c v . a) 1 m; b) 2 m; c) 0.5 m; d) 1.414 m; e) 0.707 m. Q. What is the proper lifetime of an exotic nucleus that decays on average after a flight path of 1 m when traveling at 0.999c? a) 750 ns; b) 7.5 ns; c) 0.002 ns; d) 0.75 ns ; e) 0.075 ns. 1
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Chap 9.3 Einstein’s principle of relativity All the laws of physics are the same in any local inertial reference frame (coordinate system). In the absence of an ether, this means that the speed of light is the same in any inertial reference frame. Chap 9.5 The Lorentz Transformation & Pythagoras’ rule for space-time. Outline: I. Preamble – What is time? II. Geometry – Measuring intervals in space-time A. Time dilation B. Length contraction C. A moving reference frame is rotated in 4D III. Geometry of light A. Null lines and the invariance of c B. Past, present, future, now and then C. Here and there D. The speed limit IV. Lorentz transformation V. Odd and ends – E = mc 2 etc. I. Preamble – What is time? Why does time always move ahead ineluctably? Why is everything going at the same rate of passage of time? Why can’t I travel in time, and do the inevitable paradoxes prove this is impossible? Backward, turn backward, O time in your flight…. Perhaps there could be several time dimensions….
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This note was uploaded on 09/23/2010 for the course PH 02c taught by Professor Mile during the Spring '04 term at Riverside Community College.

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2010 PHYSICS 002C Lecture 20 - PHYSICS 002C Lecture 20 May...

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