World Lines Problem, axes as meters

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In summary, the conversation discusses a problem involving a figure with a horizontal axis measuring x in meters and a vertical axis measuring t in meters. The goal is to determine the metric distance between pairs of events and whether the first member of each pair could have caused the second. The solution involves subtracting distances on the x-axis for Part A and drawing causality lines for Part B.
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The_Doukem
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Homework Statement



4) In the above figure, the horizontal axis is x measures in meters, the vertical axis is t measured in meters (SR units!)

a) For the pairs of events AB, AC, CB, determine the metric distance between them.
b) For each pair answer whether the first member of the pair could have caused the second member.

See attachment for graph.

Homework Equations





3. The Attempt at a Solution [/b

As the axes are in meters the problem was instantly confusing.

For part a) we assumed spatial distance, so we subtracted distances on the x-axis and found our solution that way.

part b) was easier, we just drew in the causality lines and determined the solution that way.
 

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I assume you're looking for this to be checked?

Part A is correct and Part B looks OK to me.
 

What is the World Lines Problem?

The World Lines Problem, also known as the spacetime interval problem, is a concept in physics that deals with the relationship between time and space in the theory of relativity. It explores the idea of how objects move through spacetime and how time and space are interconnected.

What are World Lines?

World Lines are a visual representation of an object's path through spacetime. They show how an object moves through space and time, and how its trajectory is affected by things like gravity and acceleration.

How do you plot World Lines on an axis?

The x-axis on a World Lines graph represents distance or space, typically measured in meters. The y-axis represents time, typically measured in seconds. By plotting an object's position on the x-axis at different points in time on the y-axis, you can create a World Lines graph.

Why are axes measured in meters?

Meters are the standard unit of measurement for distance in the International System of Units (SI). By using meters as the unit for the x-axis on a World Lines graph, it allows for a consistent and universal way to measure an object's position in space.

What is the significance of the World Lines Problem?

The World Lines Problem is significant because it helps us understand the relationship between time and space in the theory of relativity. It also has practical applications in fields such as astrophysics, where it is used to study the movement of objects in space.

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