- #1

sergiokapone

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- 17

The ship left Earth at a speed of 0.5c . When the distance between the ship and Earth was 0.25 light year, a terrorist was caught on Earth who said that he had planted a bomb at the time of departure and activated it for 10 months. At that moment, a warning signal was sent from Earth.

The diagram looks like this

According to the ship's clock, $$\tau = 12\cdot \sqrt{1- \left(\frac12\right)^2} \approx 10.4 $$months have passed, so the ship must explode.

The question is this. What would the diagram look like in the ship's frame of reference? The ship is already stationary and the earth is traveling at [itex]-0.5c[/itex].

This diagram contains an error, according to the previous diagram, there should be 10.4 months, but this one shows 9 months. I must have forgotten something and forgot to account for it. How to draw the diagram correctly from the ship's point of view?

The diagram looks like this

According to the ship's clock, $$\tau = 12\cdot \sqrt{1- \left(\frac12\right)^2} \approx 10.4 $$months have passed, so the ship must explode.

The question is this. What would the diagram look like in the ship's frame of reference? The ship is already stationary and the earth is traveling at [itex]-0.5c[/itex].

This diagram contains an error, according to the previous diagram, there should be 10.4 months, but this one shows 9 months. I must have forgotten something and forgot to account for it. How to draw the diagram correctly from the ship's point of view?

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