The Table below contains data on the radius and mass of the
planets (including poor Pluto) and the sun?
The radius is in Kilometers.
The mass is in Kilograms.
Radius
(km)

Mass
(kg)


Sun

695000

1.99E+30

Mercury

2440

3.30E+23

Venus

6052

4.87E+24

Earth

6378

5.97E+24

Mars

3397

6.42E+23

Jupiter

71492

1.90E+27

Saturn

60268

5.68E+26

Uranus

25559

8.68E+25

Neptune

24766

1.02E+26

Pluto

1150

1.27E+22

Here are some
questions:
What is the density of each planet and the sun? Express the answer in kilograms per cubed
meter.
How many earths are equal to the weight of Jupiter?
What weighs more the sum of the weight of all planets or the
weight of the sun?
Questions:
Question: What is the density of each planet and the
sun?
The volume of a sphere is V=(4/3) pi r^{3}
Under
the assumption that each planet is a perfect sphere we can use this formula to
the volume of each planet.
Dividing
mass of the planet by volume gives us density in kg/km^{3}.
Dividing
by 1/1000^{3 }gives us the answer in km/m^{3}.
Density of Planets and
Sun


Radius (km)

Mass (kg)

Volume Km3

Density in kg/km3

Density in kg/m3


Mercury

2440

3.3E+23

6.08E+10

5.42E+12

5.42E+03

Venus

6052

4.87E+24

9.29E+11

5.24E+12

5.24E+03

Earth

6378

5.97E+24

1.09E+12

5.49E+12

5.49E+03

Mars

3397

6.42E+23

1.64E+11

3.91E+12

3.91E+03

Jupiter

71492

1.9E+27

1.53E+15

1.24E+12

1.24E+03

Saturn

60268

5.68E+26

9.17E+14

6.19E+11

6.19E+02

Uranus

25559

8.68E+25

6.99E+13

1.24E+12

1.24E+03

Neptune

24766

1.02E+26

6.36E+13

1.60E+12

1.60E+03

Pluto

1150

1.27E+22

6.37E+09

1.99E+12

1.99E+03

Sun

695000

1.99E+30

1.41E+18

1.42E+12

1.42E+03

Question: How many earths does it take
to equal the weight of Jupiter?
Divide the weight of Jupiter by the weight of the
earth.
1.9 x10^{27}/
5.97x10^{24 }
318.3
Question what weighs
more the sum of all the weight of all planets or the weight of the sun?
The sun weighs more.
I don’t need to add. The mass of
the sun in scientific notation is roughly 1000 times higher than the mass of
the largest planet Jupiter. Compare 10^{30
}to 10^{27}. Since the sun
weighs more than 1000 times Jupiter, the heaviest planet, it must also weigh
more than the sum of nine planets.
Authors Note:
My books on Kindle:
Solving Finance
Problems In Excel;
Book solves 15
practical finance problems in Excel
Nine Essays on Debt
and Your Retirment
Book argues that debt
reduction and management needs to take priority over investing in risky assets
and buying the dream house.
If you are saving for
retirement you may want to look at my finance blog:
Thinking about investing some of your 401((k) in an emerging
market fund. Read this post first.
http://financememos.blogspot.com/2016/01/investinginemergingmarketspost1.html
No comments:
Post a Comment