Question

In: Physics

On a cloudless day, the sunlight that reaches the surface of the Earth has an intensity...

On a cloudless day, the sunlight that reaches the surface of the Earth has an intensity of about 1.01×10³ W/m². What is the electromagnetic energy contained in 4.3 m³ of space just above the Earth's surface?

c = 3.00×10⁸ m/s

Expert Solution

Given the intensity of sunlight at the surface of the Earth is

1010 Watts of energy is transferred to a surface area of 1m².

Using 1Watts=1Joule per second

1010 Joules of energy is transferred to a surface area of 1m² every second.

Consider a cuboid of sides l, b, and h and volume V=lbh=4.3m³. Sunlight is incident of the ABCD as shown in the above figure. Power entering the cuboid through surface ABCD is

where A=hb is the area of the surface ABCD

We want calculate the total energy that entered through the surface ABCD, when the light completely fills the cuboid. Let t be the time in which the light completely fills cuboid, that is, the time in which it traveled from surface ABCD to surface EFGH.

We know that light travel at speed , time taken by the light to cover distance is

Total energy entered surface ABCD in time t is

hbl is the volume of the cuboid.

Substituting values

genius_generous answered 2 years ago

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