Given that average speed is distance traveled divided by time, determine the values of mm and nn when the time it takes a beam of light to get from the Sun to the Earth (in ss) is written in scientific notation. Note: the speed of light is approximately 3.0××108 m/sm/s.

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Complete Question

Given that average speed is distance traveled divided by time, determine the values of m and n when the time it takes a beam of light to get from the Sun to the Earth (in s) is written in scientific notation. Note: the speed of light is approximately 3.0×108 m/s.

Answer:

The  values of  m and  n is    5 and  2  

Explanation:

From the question we are told that

   The  speed of light is [tex]v  =  3.0 *10^{8} \  m/s[/tex]

   

Generally the distance between the sun and the earth has a constant value

      [tex]d =  1.5*10^{11} \  m[/tex]

So the time  taken is mathematically evaluated as

        [tex]t =  \frac{1.5*10^{11}}{3.0*10^{8}}[/tex]

         [tex]t =  5.0 *10^{2}[/tex]

Generally scientific notation is represented as

        [tex]m* 10^n[/tex]

So comparing the standard representation of scientific notation and the value obtained we see that

     m =  5  and  n=  2