The planet Mercury is closer to the Sun than the Earth is, so it can sometimes come between Earth and Sun. That's called a transit. A transit is like a failed solar eclipse: In a solar eclipse, the Moon gets between Earth and Sun and blocks all sunlight. In a transit, Mercury blocks only a small fraction of the Sun's light because Mercury isn't close enough to us to completely block our view of the Sun.     We want to calculate by how much the Sun will be dimmed when such a transit occurs, because that's important to know for satellites which are powered by solar panels (shown hovering around the Earth in the image above). Without Mercury in the way, the radiation intensity that hits the top of the Earth's atmosphere from the Sun is 1,360.8 W/m2  (W stands for Watt, measuring energy transferred per second).  The fraction of this intensity that is blocked by Mercury during a transit is equal to the ratio between the cross-sectional area of Mercury (as seen from Earth) and the cross-sectional area of the Sun (also as seen from Earth).  (a) The ratio between the radii of Mercury and the Sun, as seen from Earth, is 0.006, so the ratio between the cross-section of Mercury and that of the Sun is: _______ (b) The drop in solar power during a transit, in W/m2, is approximately equal to: _______

Astronomy
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ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Chapter30: Life In The Universe
Section: Chapter Questions
Problem 30E: The light a planet receives from the Sun (per square meter of planet surface) decreases with the...
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The planet Mercury is closer to the Sun than the Earth is, so it can sometimes come between Earth and Sun. That's called a transit.

A transit is like a failed solar eclipse: In a solar eclipse, the Moon gets between Earth and Sun and blocks all sunlight. In a transit, Mercury blocks only a small fraction of the Sun's light because Mercury isn't close enough to us to completely block our view of the Sun.

 

 

We want to calculate by how much the Sun will be dimmed when such a transit occurs, because that's important to know for satellites which are powered by solar panels (shown hovering around the Earth in the image above).

Without Mercury in the way, the radiation intensity that hits the top of the Earth's atmosphere from the Sun is 1,360.8 W/m2 

(W stands for Watt, measuring energy transferred per second). 

The fraction of this intensity that is blocked by Mercury during a transit is equal to the ratio between the cross-sectional area of Mercury (as seen from Earth) and the cross-sectional area of the Sun (also as seen from Earth). 

(a) The ratio between the radii of Mercury and the Sun, as seen from Earth, is 0.006, so the ratio between the cross-section of Mercury and that of the Sun is: _______

(b) The drop in solar power during a transit, in W/m2, is approximately equal to: _______

 

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