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Hello everyone.
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This is a solution to problem 22 of chapter 24 of college physics.
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We're given the distance to the small and large megalonic clouds from the milky way, and we're asked to convert the distance from light years into meters and then miles.
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So the way we do this is to work out what one light year is in terms of meters.
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And so this is the distance that light travels in a year.
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So to get these distance in meters, we multiply the speed of light as given in meters per seconds, and then multiply by the time of one year in seconds as well.
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And so that factor is 365 times 24 for the number of hours times 60 for the number of minutes, times 60 for the number of seconds.
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And if you work that out, then you get that one light year is 9 .46 times 10 to 15 meters roughly.
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Now, given that the clouds are a distance of 180 ,000 light years away, this is 1 .8 times 10 to the 5 light years.
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And now we just put in our number in or like here in terms of meters to find that this is about 1 .7 times 10 to the power of 21 meters...