Posted by **Joe Schmo** on Wednesday, May 25, 2011 at 11:10pm.

On earth, a certain type of bacteria doubles in number every 24 hours. Two cultures of these bacteria are prepared, each consisting initially of one bacterium. One culture is left on earth and the other is put on a rocket travelling at .866c relative to the earth. By the time the earth bound bacteria have grown to 256 bacteria, how many bacteria are in the culture on the rocket, according to earth-based observers?

- Physics -
**drwls**, Thursday, May 26, 2011 at 1:11am
Time on the rocket goes more slowly, as seen by earth-based observer. The elapsed time on the rocket is lower by a factor sqrt[1-(v/c)^2] = sqrt(0.25) = 1/2

2^8 = 256 is the number of bacteria that are produced on earth during the time interval you are discussing.

The rocket's bacteria will have doubled half as many times, so there will be 2^4 = 16 bacteria

## Answer This Question

## Related Questions

- precalculus - A bacteria culture initially contains 1500 bacteria and doubles ...
- MATH :) - 3. In Biology, it is found that the bacteria in a certain culture ...
- Math - A certain bacterium divides into 2 bacteria every 20 minutes. If there ...
- math - 7. A certain strain of bacteria doubles every 6 minutes. Assuming that ...
- math - The bacteria in a certain culture double every 7.5 hours. The culture has...
- calculus - A bacteria culture starts with 900 bacteria and the population ...
- College Algebra - The number of bacteria in a certain culture increased from ...
- Precalculus - NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 ...
- math - A type of bacteria doubles in number every 12 hours. After 2 days, there...
- math - The number of bacteria in a culture is modeled by: n(t) = 1330e^(0.42t) (...

More Related Questions