Question

A microbiologist measures the speed of a swimming bacterium. The 2bacterium covers a distance of 6.82
microns in 3.5 seconds. The biologist wished to compare the speed of the bacteria with other animals, but the
speeds of other animals are listed in kilometers per hour. What is the speed of the bacterium in kilometers per
hour? (1 micron 1x 10-6 m) Use scientific notation and express your answer to the correct number of
significant figures. You must show your work for full credit.
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Please help ASAP

Answer 1

Answer:

The speed of bacterium in kilometers per hour is $7.02\times10^{-3}\rm{km/hour}$.

Explanation:

Given:

The distance covered by the bacterium is $d=6.82\rm{micron}$

The time taken by the bacterium is $t=3.5$ s.

Now, conversion of units can be done as,

$1\rm{micron}=1\rm{\[\mu\]m}\\1\rm{micron}=1\times10^{-6}\rm{m}$

$1\rm{m}=1\times10^{-3}\rm{km}$

$1\rm{s}=\frac{1}{3600}\rm{hour}$

Now, the speed of bacterium will be,

$s=\frac{d}{t}\\s=\frac{6.83}{3.5}\mu\rm{m/s}$

Convert the units to km/hour as,

$s=\frac{6.83}{3.5}\mu\rm{m/s}\\s=\frac{6.83}{3.5}\times\frac{10^{-6}}{\frac{1}{3600}}\rm{km/hour}\\s=0.007025\rm{km/hour}\\s=7.02\times10^{-3}\rm{km/hour}$

Therefore, the speed of bacterium in km per hour is $7.02\times10^{-3}\rm{km/hour}$.

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