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2. Suspecting that the Moon is going to explode, people board a spaceship and y away from the Earth at a speed of (4/5)c. At

2. Suspecting that the Moon is going to explode, people board a spaceship and y away from the Earth at a speed of (4/5)c. At the start of their journey, their clocks read t = 0, in agreement with the Earth-bound observers. When the travelers' clocks read 2 years, they detect a light signal from the Earth, indicating that it has exploded. You can assume that the Earth and Moon are at rest relative to each other, and that their separation is tiny compared to other lengths in this problem, so you can treat the Earth and Moon as if they are at the same location. (a) Draw a set of three stacked snapshot diagrams in the Earth's frame, one for each of the three signicant events in the story. (b) Draw a set of three stacked snapshot diagrams in the ship's frame, one for each of the three signicant events in the story. (c) In the travelers' frame, how far are they from the Earth when they receive the signal? (d) According to observers in the travelers' frame, what time did the Moon explode? (e) At what time do the stay-at-homes (assuming some survive) say the disaster happened? (f) According to the travelers, how far from the Earth were they when the Moon exploded? (g) According to the stay-at-homes, how far away was the ship when the blow-up occurred? Page image text in transcribed

2. Suspecting that the Moon is going to explode, people board a spaceship and fly away from the Earth at a speed of (4/5)c. At the start of their journey, their clocks read t = 0, in agreement with the Earth-bound observers. When the travelers' clocks read 2 years, they detect a light signal from the Earth, indicating that it has exploded. You can assume that the Earth and Moon are at rest relative to each other, and that their separation is tiny compared to other lengths in this problem, so you can treat the Earth and Moon as if they are at the same location. (a) Draw a set of three stacked snapshot diagrams in the Earth's frame, one for each of the three significant events in the story. (b) Draw a set of three stacked snapshot diagrams in the ships frame, one for each of the three significant events in the story. (C) In the travelers' frame, how far are they from the Earth when they receive the signal? (d) According to observers in the travelers' frame, what time did the Moon explode? (e) At what time do the stay-at-homes (assuming some survive) say the disaster happened? (f) According to the travelers, how far from the Earth were they when the Moon exploded? (g) According to the stay-at-homes, how far away was the ship when the blow-up occurred? 2. Suspecting that the Moon is going to explode, people board a spaceship and fly away from the Earth at a speed of (4/5)c. At the start of their journey, their clocks read t = 0, in agreement with the Earth-bound observers. When the travelers' clocks read 2 years, they detect a light signal from the Earth, indicating that it has exploded. You can assume that the Earth and Moon are at rest relative to each other, and that their separation is tiny compared to other lengths in this problem, so you can treat the Earth and Moon as if they are at the same location. (a) Draw a set of three stacked snapshot diagrams in the Earth's frame, one for each of the three significant events in the story. (b) Draw a set of three stacked snapshot diagrams in the ships frame, one for each of the three significant events in the story. (C) In the travelers' frame, how far are they from the Earth when they receive the signal? (d) According to observers in the travelers' frame, what time did the Moon explode? (e) At what time do the stay-at-homes (assuming some survive) say the disaster happened? (f) According to the travelers, how far from the Earth were they when the Moon exploded? (g) According to the stay-at-homes, how far away was the ship when the blow-up occurred

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