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You got rescued! On the way home on the spaceship, your stupid 143 instructor was so busy playing Dragon Quest (a video game) instead of

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You got rescued! On the way home on the spaceship, your stupid 143 instructor was so busy playing Dragon Quest (a video game) instead of piloting that the most of the ship started burning fire! You dragged your instructor to an escape pod, which was 1/5 of the total mass of the ship. Finally, you and your stupid instructor got out of the burning ship by making the escape pod launch by turning part of the ship's mass to the pod's kinetic energy. If the ship was originally moving with 0.995c and your escape pod was moving with 0.999c, how much fraction of the ship's original mass was used to launch your escape pod? Assume that all motions are on one line, there is no energy loss, and all the speeds are measured by the same observer (say, someone on the Earth)

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