Lesson: Minkowski Diagrams for Galilean Relativity Physics

In this lesson, we will learn how to interpret Minkowski diagrams if Minkowski diagrams were used for Galilean relativity.

Lesson Worksheet

Q1:

The diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame 𝑆 is shown by the axes 𝑥 and 𝑐𝑡, and frame 𝑆 is shown by the axes 𝑥 and 𝑐𝑡. Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆. Which of the following does the red line show?

  1. An object that is moving at the speed of light in both 𝑆 and 𝑆
  2. An object that is moving at the speed of light in frame 𝑆
  3. An object that is moving at a constant, nonzero speed in both 𝑆 and 𝑆
  4. The world line of an object that is at rest in frame 𝑆
  5. The world line of an object that is moving at speed 𝑢 in frame 𝑆
  6. A line of constant time in both 𝑆 and 𝑆
  7. An object that is moving at the speed of light in frame 𝑆
  8. The world line of an object that is at rest in frame 𝑆

Q2:

The above diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame 𝑆 is shown by the axes 𝑥 and 𝑐𝑡, and frame 𝑆 is shown by the axes 𝑥 and 𝑐𝑡. Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆. Which of the following does the red line show?

  1. An object that is moving at the speed of light in both 𝑆 and 𝑆
  2. An object that is moving at the speed of light in frame 𝑆
  3. An object that is moving at a constant, nonzero speed in both 𝑆 and 𝑆
  4. The world line of an object that is at rest in frame 𝑆
  5. The world line of an object that is moving at speed 𝑢 in frame 𝑆
  6. An object that is moving at the speed of light in frame 𝑆
  7. The world line of an object that is at rest in frame 𝑆

Q3:

The diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame 𝑆 is shown by the axes 𝑥 and 𝑐𝑡, and frame 𝑆 is shown by the axes 𝑥 and 𝑐𝑡. Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆. Six events are shown on the diagram: 𝐴, 𝐵, 𝐸, 𝐹, 𝐺, and 𝐻.

Which two events are simultaneous in frame 𝑆?

Which two events are simultaneous in frame 𝑆?

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