Earth, Sun and Analyzing Starlight Worksheet
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Dec 6, 2023
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Earth, Sun and Analyzing Starlight Worksheet
Name Leah Walker
Please answer in complete sentences and show all calculations in detail.
Part 1:
As you recall,
Power
is defined as energy per unit time, [with SI units: J/s, or
Watt (W)
].
Radiative
flux
(energy flux density) is power emitted (or received) per unit area [with SI units:
W/m
2
].
In Chapter 17 you learned that a star’s
luminosity
(L) is the total power emitted by the star. Only a
fraction of that reaches us here on Earth and the amount of it per unit area we call the
apparent
brightness
.
In Chapter 5 you learned that light propagation follows the
inverse square law
. Apparent brightness
can then be expressed as the following:
Brightness (or Flux)
¿
L
4
π D
2
where
D
is the distance from the source to an observer on Earth and
L
is the luminosity of the source.
Calculate the solar flux (solar irradiance) received on Earth, i.e., the apparent brightness of the Sun,
given Sun luminosity of L
⊙
= 3.84x10
26
W and distance from Sun to Earth of 1 AU = 1.49x10
11
m.
(Note: the calculated number is also referred to as the solar constant)
F = (3.84 x 10^26 W) / (4π(1.49 x 10^11 m)²)
F = (3.84 x 10^26 W) / (8.84 x 10^23 m²) = 434.5 W/m²
434.5 W/m²
How many 100 W light bulbs can you power if you can collect and use 100% of the solar irradiance
with a 1 m
2
solar panel?
(Just for reference, the solar irradiance at the surface is 25% less since some gets absorbed on its way
through the atmosphere. Also, typical solar panels are around 20% efficient currently.)
P=(1360W/m2)(1m2)=1360W
n= 100W/1360W
=13.6≈14 light bulbs.
Part 2:
In a few sentences describe what we mean by the solar wind? How is Earth’s surface protected
from the solar wind?
Solar wind is a phenomenon caused by the Sun when it releases a flow of charged particles traveling at
high speeds through space. These particles, mostly electrons and protons, interact with the magnetic
fields and atmospheres of planets and other bodies within the solar system. The effects of solar wind
include auroras, geomagnetic storms, and comet tails.
The Earth is protected from the solar wind by three main factors. The first is the magnetosphere, which
is like a giant bubble of magnetism that surrounds the Earth. It deflects most of the solar material that
comes towards us from the Sun. The magnetosphere also interacts with the solar wind, creating things
like auroras, geomagnetic storms, and magnetotails. The second factor is the Earth's atmosphere. This
acts as a shield, absorbing and scattering some of the solar radiation before it reaches the Earth's
surface. The atmosphere also protects us from harmful ultraviolet rays, cosmic rays, and meteoroids.
The third factor is the Earth's geosphere, which includes the crust, mantle, and core. The geosphere is
like a physical barrier, blocking some of the solar particles from penetrating deeper into the Earth. It
also contains iron and other magnetic minerals that contribute to the Earth's magnetic field. These
factors work together to make Earth habitable, but the solar wind's intensity can change and cause
disruptions to our technology, communication, and power systems.
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