# 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

This lesson includes 6 additional questions for subscribers.