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Consider a bright star in our night sky. Assume its distance from Earth is 20.9 light-years (ly) and its power output is 4.00 x 10²⁸W, about 100 times that of the Sun.

(a) Find the intensity of the starlight at the Earth.

(b) Find the power of the starlight the Earth intercepts. One light-year is the distance traveled by the light through a vacuum in one year. (The radius of Earth is 6.37 x 10⁶m.)

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