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

1. An object that is moving at the speed of light in both and
2. An object that is moving at the speed of light in frame
3. An object that is moving at a constant, nonzero speed in both and
4. The world line of an object that is at rest in frame
5. The world line of an object that is moving at speed in frame
6. An object that is moving at the speed of light in frame
7. The world line of an object that is at rest in frame
• Aii
• Biii and i
• Cv and iv
• Dvii and vi
• Eiii

Q2:

The diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame . Six events are shown on the diagram: , , , , , and . Which two events are simultaneous in frame ?

• A and
• B and
• C and
• D and
• E and

Which two events are simultaneous in frame ?

• A and
• B and
• C and
• D and
• E and

Q3: The above diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame . Which of the following does the red line show?

1. An object that is moving at the speed of light in both and
2. An object that is moving at the speed of light in frame
3. An object that is moving at a constant, nonzero speed in both and
4. The world line of an object that is at rest in frame
5. The world line of an object that is moving at speed in frame
6. An object that is moving at the speed of light in frame
7. The world line of an object that is at rest in frame
• Ai and ii
• Bv and vi
• Ciii and iv
• Di and vii
• Evii

Q4: The diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame . Which of the following does the red line show?

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

Q5: The above diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame . The red line is the world line of a particle that is moving at the speed of light in frame . Which of the following expressions gives the speed of the particle in frame ?

• A
• B
• C
• D
• E

Q6:

The diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and and frame is shown by the axes and . Frame moves at a speed relative to frame . Six events are shown on the diagram: , , , , , and . Which two events occur at the same position in ?

• A and
• B and
• C and
• D and
• E and

Which two events occur at the same position in ?

• A and
• B and
• C and
• D and
• E and

Q7:

The diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame . Which of the following does the red line show? 1. An object that is moving at the speed of light in both and
2. An object that is moving at the speed of light in frame
3. An object that is moving at a constant, nonzero speed in both and
4. The world line of an object that is at rest in frame
5. The world line of an object that is moving at speed in frame
6. A line of constant time in both and
7. An object that is moving at the speed of light in frame
8. The world line of an object that is at rest in frame
• Aii and iii
• Bv and vii
• Civ and i
• Dviii
• Evi

Q8:

The above diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at the speed of light, , relative to . The red line is the world line of a particle that is moving at the speed of light in frame . What is the speed of the particle in frame ? Q9:

The above diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame . The red line is the world line of a particle moving at the speed of light, , in frame . Which of the following expressions gives the speed of the particle in frame ? • A
• B
• C
• D
• E

Q10:

The above diagram shows what a Minkowski diagram would look like for two reference frames that obey Galilean relativity. Frame is shown by the axes and , and frame is shown by the axes and . Frame moves at a speed relative to frame , where is faster than the speed of light. The red line is the world line of a particle moving at the speed of light, , in frame . Which of the following statements is true for an observer at rest in frame ? • AThe particle is moving away from the observer at a speed .
• BThe particle is moving away from the observer at a speed .
• CThe particle is not moving relative to the observer.
• DThe particle is moving away from the observer at a speed .
• EThe particle is moving away from the observer at a speed .