As observed on earth, a certain type of bacteria is known to double in number every...

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Physics

As observed on earth, a certain type of bacteria is known todouble in number every 24 hours. Two cultures of these bacteria areprepared, each consisting initially of one bacterium. One cultureis left on earth and the other placed on a rocket that travels at aspeed of 0.746c relative to the earth. At a time when theearthbound culture has grown to 32 bacteria, how many bacteria arein the culture on the rocket, according to an earth-based observer?Please explain each step and use (delta)t =(delta)to/sqrt(1-(v^2/c^2))

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3.8 Ratings (687 Votes)
Doubling of population P every 24 h means P 2N where N 1 2 3 with the total elapsed time 1 Te N24 h Given P 32 2N we solve for N in the following way ln32 ln2N Nln2 2 N ln32ln2    See Answer
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