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Lecture 11: Relativistic Spacetime
September 28, 2017
- Read: Supplementary Reading CH 3
- Study: Exs 1, 2; Fig 3.1; comments on pp. 72--73; Ex 3; rules at top of p. 76; Ex 4
- (Continuing objective) Relate the concepts of relativity, momentum, and oscillations to “everyday” situations and discuss various applications of the concepts to practical problems in various fields of science, medicine and engineering.
- Calculate a spacetime interval between two events, and classify the interval as space-like, time-like, or light-like. Use these classifications to determine whether or not the two events can or cannot be causally linked.
- Use the invariance of the interval to relate distance and time intervals in one reference frame to those in a different frame.
- Draw and/or interpret a spacetime diagram, and use this diagram to determine time-ordering and spatial-ordering of events in various frames, including whether or not events are simultaneous or at the same location.
- Friday's Assigned Problems:
A33, A34; Supp CH 3: 1, 4, 7, 8, 10, 11, 6
Notes: For Supp CH 3 #7, note that event B is the flare occurring on the Sun, NOT the flare being observed at the Earth. We will discuss Supp CH 3 #6 in detail during problem session on Wednesday, October 11.
- Monday's Hand-In Problems: A32; Supp CH 2: 4, 9, 11, 15; Supp CH 3: 2, 3, 5, 9
- Click here for the Lecture overheads
or here for full-sized versions.
Answers to Conceptests: (1) a -- 2, b -- 2, c -- 1; (2) 1; (3) 4; (4) 3
- Simulation of flashing bulb in train, as viewed from inside the train.
- Simulation of flashing bulb in train, as viewed from Cow's reference frame.
Videos of example problemsTo see the problem statement, click on the link below. To play the video example, click on the underlined words "Video Demonstration" near the top of the page with the problem statement.
- Video Example #1: Spacetime Diagram. ans: watch problem
- Video Example #2: Spacetime Diagram and Invariant Intervals. ans: watch problem
- Video Example #3: Spacetime Intervals. ans: 2.5 light-microseconds.
Length contraction as viewed from the ref. frame of an Om-nom monster (upper) and from the frame of the city (lower). Ignore air resistance. pic.twitter.com/UyFKKikEuA— Tom Solomon (@TheChaoticBird) September 28, 2016
- Honky Cat, by Elton John
- Helicopter, by Bloc Party
- Higher Ground, by Stevie Wonder
- Happy, by Pharrell Williams
- Holiday, by Green Day