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(a) A unit of time sometimes used in microscopic physics is the shake. One shake equals 10^-8 s. Are there more shakes in a second than there are seconds in a year? (b) Humans have existed for about 10^6 years, whereas the universe is about 10^10 years old. If the age of the universe is defined as 1 “universe day,” where a universe day consists of “universe seconds” as a normal day consists of normal seconds, how many universe seconds have humans existed?
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please answer b and show working
A universe day is 10^10 years, so a universe second is 10^10/(86400) human years, the number of seconds in a day. Thus humans have existed for \[\large \frac{10^6}{\frac{10^{10}}{86400}}\]
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