Worksheet: Minkowski Diagrams for Galilean Relativity

In this worksheet, we will practice interpreting Minkowski diagrams if Minkowski diagrams were used for Galilean relativity.

Q1:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . 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
  • Aii
  • Bvii and vi
  • Ciii
  • Dv and iv
  • Eiii and i

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . 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 ?

  • A 𝐵 and 𝐺
  • B 𝐸 and 𝐴
  • C 𝐹 and 𝐴
  • D 𝐻 and 𝐺
  • E 𝐵 and 𝐸

Which two events are simultaneous in frame 𝑆 ?

  • A 𝐵 and 𝐺
  • B 𝐵 and 𝐸
  • C 𝐻 and 𝐺
  • D 𝐸 and 𝐴
  • E 𝐹 and 𝐴

Q3:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . 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
  • Avii
  • Biii and iv
  • Ci and ii
  • Di and vii
  • Ev and vi

Q4:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆 . Which of the following does the red line show?

  1. The world line of an object that is moving at speed 𝑢 in frame 𝑆
  2. An object that is moving at the speed of light in both 𝑆 and 𝑆
  3. An object that is moving at the speed of light in frame 𝑆
  4. An object that is moving at a constant, nonzero speed in both 𝑆 and 𝑆
  5. The world line of an object that is at rest in frame 𝑆
  6. The world line of an object that is moving at speed 𝑢 in frame 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
  • Aiii and viii
  • Biii and vi
  • Cii and vii
  • Dvi and iv
  • Ei and v

Q5:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆 . The red line is the world line of a particle that is moving at the speed of light in frame 𝑆 . Which of the following expressions gives the speed of the particle in frame 𝑆 ?

  • A 𝑐 + 2 𝑢
  • B 𝑢
  • C 𝑐 𝑢
  • D 𝑐 + 𝑢
  • E 𝑐

Q6:

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 𝑐 𝑡 and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . 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 occur at the same position in 𝑆 ?

  • A 𝐺 and 𝐹
  • B 𝐺 and 𝐻
  • C 𝐵 and 𝐹
  • D 𝐴 and 𝐵
  • E 𝐸 and 𝐹

Which two events occur at the same position in 𝑆 ?

  • A 𝐵 and 𝐹
  • B 𝐸 and 𝐹
  • C 𝐵 and 𝐸
  • D 𝐴 and 𝐵
  • E 𝐺 and 𝐹

Q7:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . 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
  • Aiv and i
  • Bv and vii
  • Cviii
  • Dii and iii
  • Evi

Q8:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . Frame 𝑆 moves at the speed of light, 𝑐 , relative to 𝑆 . The red line is the world line of a particle that is moving at the speed of light in frame 𝑆 . What is the speed of the particle in frame 𝑆 ?

Q9:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆 . The red line is the world line of a particle moving at the speed of light, 𝑐 , in frame 𝑆 . Which of the following expressions gives the speed of the particle in frame 𝑆 ?

  • A 𝑐 + 𝑢
  • B 𝑐
  • C 𝑐 𝑢
  • D 𝑢
  • E 𝑐 2 𝑢

Q10:

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 𝑐 𝑡 , and frame 𝑆 is shown by the axes 𝑥 and 𝑐 𝑡 . Frame 𝑆 moves at a speed 𝑢 relative to frame 𝑆 , where 𝑢 is faster than the speed of light. The red line is the world line of a particle moving at the speed of light, 𝑐 , in frame 𝑆 . Which of the following statements is true for an observer at rest in frame 𝑆 ?

  • AThe particle is not moving relative to the observer.
  • BThe particle is moving away from the observer at a speed 𝑢 .
  • CThe particle is moving away from the observer at a speed 𝑐 𝑢 .
  • DThe particle is moving away from the observer at a speed 𝑐 2 𝑢 .
  • EThe particle is moving away from the observer at a speed 𝑐 .

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.