Question

Light from the sun reaches the earth in 8.3 minutes. The speed of light is 3.0 ´ 108 m/s. In kilometers, how far is the earth from the sun?

Answer 1

Answer:

d=1.49×1011m

Explanation:

Velocity is defined as the rate of travel, and can be found using the distance formula.

velocity=distancetime

Rearranging this formula we can solve for distance given velocity and time of travel.

d=vt

We are given velocity and time, and so can solve for distance, but if we plug in the values given;

d=(3.00×108m/s)(8.3minutes)

We can see that the units do not match up. Since seconds are the SI unit for time, we will need to convert 8.3 minutes to seconds.

t=(8.3minutes)(60seconds/minute)=(498s)

Now our units work out and we can solve for distance.

d=(3.00×108m/s)(498s)

d=1.49×1011m

Answer 2

Hello!

Light from the sun reaches the earth in 8.3 minutes. The speed of light is 3.0*10^8 m/s. In kilometers, how far is the earth from the sun?

We have the following information:

S (average speed) = 3.0*10^8 m/s

d (distance traveled) = ? (in km)

t (time) = 8.3 minutes; if: 1 min = 60 sec, then: 8.3*60 → t = 498 seconds

Apply the data to the average speed formula, we will have:

$S = \dfrac{d}{t}$

$d = S*t$

$d = 3.0*10^8\:\dfrac{m}{\diagup\!\!\!\!s} *498\:\diagup\!\!\!\!s$

$d = 1.494*10^{11}\:m \to \boxed{\boxed{d = 1.494*10^8\:km}}\:\:\:\:\:\:\bf\orange{\checkmark}$

Answer:

The earth will be 1.494*10^8 kilometers away from the sun

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$\bf\orange{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}$