# Worksheet: Simultaneity

In this worksheet, we will practice using the Lorentz transformation to calculate the inertial reference frame in which two events are observed to occur simultaneously.

Q1:

Two astronomical events are observed from Earth to occur at a time of 0.30 s apart and a distance separation of m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?

• A m/s
• B m/s
• C m/s
• D m/s
• E m/s

Q2:

An observer sees two events s apart at a separation of 700 m. How fast must a second observer be moving relative to the first to see the two events occur simultaneously?

• A
• B
• C
• D
• E

Q3:

Two astronomical events are observed from Earth. The time difference between the observation of the events is 2 s and the observed distance between the events is m.

Determine the separation of the two events.

• A m2
• B m2
• C m2
• D m2
• E m2

Determine whether the separation of the two events is space-like or time-like.

• ATime-like
• BSpace-like