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The power emitted by the Sun in the form of electromagnetic waves is about 4.00

ID: 1776424 • Letter: T

Question

The power emitted by the Sun in the form of electromagnetic waves is about 4.00 x 1026 W. The distance from the Earth to the Sun is about 150 million km, and the radius of the Earth is approximately 6400 km (a) Using these numbers, determine the intensity of sunlight reaching Earth. W/m2 (b) Using these numbers, determine the total energy every second in the sunlight that is incident on the Earth. For reference, on your electricity bill, you get charged about $1 for every 3.6 x 107 J of electricity you use, so you might want to think about the value of one second's worth of sunlight hitting the Earth

Explanation / Answer

a) I = P / 4 pi r2

= (4.00 * 1026) / (4 pi * (150 * 109)2)

intensity of light = 1415 W/m2

b) E = I A = I * pi * r2

= 1415 * (pi * (6400 * 103)2)

= 1.82 * 1017 J

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