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6. One of the potentially confusing things about special relativity is that it shows us that the time measured between two events depends upon your inertial frame of reference. In particular, two events that appear to be simultaneous in one inertial frame may be measured to occur at different times in a different inertial frame. Even more interesting is that Event 1 might occur either before or after (or at the same time as) Event 2, depending upon your reference frame! The proper interpretation of these facts is to say that nothing in physics forces two simultaneous events in one frame to be simultaneous in any other frame. However, what about the order of events when Event 1 CAUSES Event 2? For example, let's consider two events from a game of pool: 1) A cue ball, traveling at 10 m/s, hits the eight ball (of mass equal to the cue ball). An elastic collision transfers all the linear momentum of the cue ball to the eight ball. 0oondc lotor the gicht bol1 10 from the collision noint

6. One of the potentially confusing things about special relativity is that it shows us that the time measured between two events depends upon your inertial frame of reference. In particular, two events that appear to be simultaneous in one inertial frame may be measured to occur at different times in a different inertial frame. Even more interesting is that Event 1 might occur either before or after (or at the same time as) Event 2, depending upon your reference frame! The proper interpretation of these facts is to say that nothing in physics forces two simultaneous events in one frame to be simultaneous in any other frame. However, what about the order of events when Event 1 CAUSES Event 2? For example, let's consider two events from a game of pool: 1) A cue ball, traveling at 10 m/s, hits the eight ball (of mass equal to the cue ball). An elastic collision transfers all the linear momentum of the cue ball to the eight ball. 0oondc lotor the gicht bol1 10 from the collision noint

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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6. One of the potentially confusing things about special relativity is that it shows us that the time measured between two events depends upon your inertial frame of reference. In particular, two events that appear to be simultaneous in one inertial frame may be measured to occur at different times in a different inertial frame. Even more interesting is that Event 1 might occur either before or after (or at the same time as) Event 2, depending upon your reference frame! The proper interpretation of these facts is to say that nothing in physics forces two simultaneous events in one frame to be simultaneous in any other frame. However, what about the order of events when Event 1 CAUSES Event 2? For example, let's consider two events from a game of pool: 1) A cue ball, traveling at 10 m/s, hits the eight ball (of mass equal to the cue ball). An elastic collision transfers all the linear momentum of the cue ball to the eight ball. 2) 0.1 seconds later, the eight ball sinks in a corner pocket, 1.0 meters from the collision point. Therefore, as viewed in the rest frame of the table, we see two events, separated in time by 0.1 seconds, and separated in space by 1.0 meters. We view these events : - they are two events where one causes the other. being in a cause-and- effect relationship Use the Lorentz transformations to answer the following question: What conditions are required for there to be an inertial reference frame where these two events are observed to occur in the opposite order in time? (i.e., the eight ball sinks into the corner pocket before being struck by the cue ball. Remember, this is not about perception; the second event would have to be recorded by a local experimenter as occurring at a time earlier than the first event, as seen by another local experimenter.) Comment on your result.
Transcribed Image Text:6. One of the potentially confusing things about special relativity is that it shows us that the time measured between two events depends upon your inertial frame of reference. In particular, two events that appear to be simultaneous in one inertial frame may be measured to occur at different times in a different inertial frame. Even more interesting is that Event 1 might occur either before or after (or at the same time as) Event 2, depending upon your reference frame! The proper interpretation of these facts is to say that nothing in physics forces two simultaneous events in one frame to be simultaneous in any other frame. However, what about the order of events when Event 1 CAUSES Event 2? For example, let's consider two events from a game of pool: 1) A cue ball, traveling at 10 m/s, hits the eight ball (of mass equal to the cue ball). An elastic collision transfers all the linear momentum of the cue ball to the eight ball. 2) 0.1 seconds later, the eight ball sinks in a corner pocket, 1.0 meters from the collision point. Therefore, as viewed in the rest frame of the table, we see two events, separated in time by 0.1 seconds, and separated in space by 1.0 meters. We view these events : - they are two events where one causes the other. being in a cause-and- effect relationship Use the Lorentz transformations to answer the following question: What conditions are required for there to be an inertial reference frame where these two events are observed to occur in the opposite order in time? (i.e., the eight ball sinks into the corner pocket before being struck by the cue ball. Remember, this is not about perception; the second event would have to be recorded by a local experimenter as occurring at a time earlier than the first event, as seen by another local experimenter.) Comment on your result.
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