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Wednesday, October 23, 2013

Density Calculations


Kepler found three laws which governed planetary motion. One linked their orbital periods and their distance from the sun. The orbital periods can be found by painstaking observation of the motions of the planets in the sky.  Kepler’s 2nd Law can then be used to find the radius of orbit. Once this is known Newton’s Law of gravitation can be used to calculate the mass of a planet. The diameter of a planet can then be calculated form the angle it subtends when viewed from Earth. 

Name
Radius km
Mass kg
Sun
695000
1.99x1030
Mercury
2440
3.3x1023
Venus
6052
4.87x1024
Earth
6378
5.97x1024
Mars
3397
6.42x1023
Jupiter
71492
1.90x1027
Saturn
60268
5.68x1026
Uranus
25559
8.68x1025
Neptune
24766
1.02x1026
Pluto
1137
1.027x1022
Moon
1738
7.35x1022
Ganymede
2634
1.48x1023


1.     Using the table opposite calculate the average densities of the objects listed.

2.     The planets can be divided into two groups called Jovian and Terrestrial. Identify which belongs to each group, and why they are so named.

3.     The average density of the surface rocks of the earth is 2 800kg m-3.  How does this compare with your value. The earth is thought to have a dense iron core. Why do you think this conclusion has been drawn?

4.       Comment upon my use of the term average density in question 1.

5.     Compare your values for Mars and the Earth.  The surface rocks on Mars are similar to igneous rocks on Earth. Mars is thought to have a core rich in sulphur as well as iron, explain why.

6.     The Moon and the Earth are the same age. This has been verified from rocks returned by American and Soviet missions. Compare the densities of the two bodies.

7.     There are four theories of the formation of the Earth Moon system

a)           That the two bodies formed together at the same time.

b)           That a proto-planet of the size of Mars collided with the proto-earth. Both planets were destroyed. The bulk of the material accreted to form the Earth but a small amount of lighter material spun out and formed the Moon.

c)            The teardrop theory where the proto moon was torn away from the Earth leaving a hole now filled by the Pacific Ocean. (Continental drift?)

d)           The moon was a stray planet that the earth captured. (compare to other small objects)
 
 
 
8.     The planet mercury superficially resembles the Moon. Do you think its internal structure is similar? Give reasons for your answer.
9.     The Jovan planets are sometimes called "Gas Giants". With reference to their densities give reasons why. Neptune and Uranus are both blue gas giants. Some may call them sister planets. Comment upon this.
10.  Should Pluto be classed as a terrestrial planet?