Lesson Worksheet: Events in Minkowski Diagrams Physics
In this worksheet, we will practice determining the order of events as perceived from different inertial reference frames and determining whether events are simultaneous.
Q1:
The Minkowski diagram shows two frames: frame with axes and and frame with axes and . Four events are shown in the diagram: , , , and .
List the events in order of their distance from the origin in frame , starting with the closest.
- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,
List the events in order of their distance from the origin in frame , starting with the closest.
- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,
Q2:
The Minkowski diagram shows two frames: frame with axes and and frame with axes and . Six events are shown on the diagram: , , , , , and .
Which two events occur at the same distance away from the origin in frame ?
- A and
- B and
- C and
- D and
- E and
Which two events occur at the same distance away from the origin in frame ?
- A and
- B and
- C and
- D and
- E and
Q3:
The Minkowski diagram shows two frames: frame with axes and and frame with axes and . Three events are shown on the diagram: , , and .
In which frame do all three events occur at the same location?
- A
- B
Which event occurs farthest from the origin in frame ?
- A
- B
- C
Q4:
The Minkowski diagram shows two frames: frame with axes and and frame with axes and . Three events are shown on the diagram: , , and . In frame , all three events occur in the same location. Which event occurs closest to the origin in frame ?
- A
- B
- C
Q5:
The Minkowski diagram shows four events, , , , and , in the inertial frame S. Each event represents a light bulb flashing on for a fraction of a second. The light emitted from each bulb then travels at speed . For an observer in frame S at position , the light from two events will reach at the same time; thus, the observer at will see the two events happen at the same time. Which two events will the observer see happen at the same time?
- A and
- B and
- C and
- D and
- E and
Q6:
The Minkowski diagram shows two inertial frames: frame with axes and and frame with axes and . Frame moves at a speed relative to frame . Three events are marked on the diagram: , , and . In frame , which event occurs first?
- A
- B
- C
Q7:
The Minkowski diagram shows two inertial frames: frame with axes and and frame with axes and . Frame moves at a speed relative to frame . Each of the events , , and represents a light bulb flashing on for a fraction of a second. The light is emitted from each bulb and then travels at speed . If there is an observer at rest in frame , which light bulb will that observer see flash first?
- A
- B
- C
Q8:
The Minkowski diagram shows two frames: frame with axes and and frame with axes and . Six events are shown on the diagram: , , , , , and .
Which two events are simultaneous in the frame ?
- A and
- B and
- C and
- D and
- E and
Which two events are simultaneous in the frame ?
- A and
- B and
- C and
- D and
- E and
Q9:
The given Minkowski diagram shows two frames: frame with axes and and frame with axes and . Two events are shown in the diagram: and . In both frames and , the dotted lines are spaced 1 m apart along the -axis.
What is the spatial separation of events and in frame ?
If is the separation of the events in frame and is the separation of the events in frame , which of the following expressions relating these two quantities is true?
- A
- B
- C
- D
- E
Q10:
The given Minkowski diagram shows two frames: frame with axes and and frame with axes and . Frame moves at a speed relative to . Two events, and , are marked on the diagram.
In which frame do the two events occur at the same time?
- A
- B
Which event occurs first in frame ?
- AThey occur at the same time.
- B
- C
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