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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.

2 Answers

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Final answer:

The time it takes for a beam of light to travel from the Sun to the Earth can be found by dividing the distance traveled by the speed of light.

Step-by-step explanation:

The time it takes for a beam of light to travel from the Sun to the Earth can be found by dividing the distance traveled by the speed of light. The distance from the Sun to the Earth, in meters, can be written as 1.50 × 10^11 m. The speed of light is approximately 3.0 × 10^8 m/s. Substituting these values into the formula, we can determine the time it takes for the light beam to travel from the Sun to the Earth.

mm = 1.50 × 10^11 m

nn = 3.0 × 10^8 m/s

User Eddie Groves
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3 votes

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

Step-by-step explanation:

From the question we are told that

The speed of light is
v  =  3.0 *10^(8) \  m/s

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


d =  1.5*10^(11) \  m

So the time taken is mathematically evaluated as


t =  (1.5*10^(11))/(3.0*10^(8))


t =  5.0 *10^(2)

Generally scientific notation is represented as


m* 10^n

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

m = 5 and n= 2

User Georges Krinker
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