Due 16 January 1998
This is the first real homework set for ES 10, worth a total of 90 points. You may find Handout 1 to be useful, especially on the last question. Please write your answers on paper other than this assignment, make sure your name is on each page, and staple your pages together.
If you have problems or questions, please come to the discussion section, or see me after class, or send me an e-mail. My e-mail address is anderson@python.ucsd.edu.
Question 1. Write the following numbers as powers of ten. (4 points)
Question 2. Write the following numbers in ``normal'' notation. (4 points)
Question 3. Do the following problems. (4 points)
Question 4. Write the following numbers in scientific notation. (4 points)
Question 5. Write the following numbers in ``normal'' notation. (4 points)
Question 6. Perform the following calculations. Show your work for full credit. (4 points)
Question 7. Show your work for full credit. (8 points)
A cop pulls you over for speeding on a road trip to Las Vegas. He says, ``I clocked you at 4470 cm/sec. The speed limit here is 31.3 m/sec. I'll have to arrest you for reckless driving. You can get out when you make bail.'' If bail is $20 per mile/hour over the speed limit, how much are your friends going to have to pay to get you out of jail? Round your answer to the nearest dollar.
Question 8. Show your work for full credit. (8 points)
You've decided to throw a big Super Bowl party to root for the San Francisco 49ers. You've decided to get a keg of Samuel Adams to serve at your party.
Question 9. The Age of the Universe (50 points)
In this problem, you will calculate the age of the universe from a set of numbers which Dr. Tauxe has put together (see Table 1). You will use these numbers to make a graph, and then you will use your graph to estimate the age of the universe.
Here's what I want you to do:
Please follow these rules. It makes life nicer for both of us.
Speed (cm/sec) | Distance (cm) |
---|---|
9.683 × 10^{7} | 6.918 × 10^{25} |
1.109 × 10^{8} | 7.079 × 10^{25} |
1.452 × 10^{8} | 8.128 × 10^{25} |
1.603 × 10^{8} | 7.762 × 10^{25} |
3.819 × 10^{8} | 2.239 × 10^{26} |
5.152 × 10^{8} | 2.512 × 10^{26} |
5.370 × 10^{8} | 2.818 × 10^{26} |
4.581 × 10^{8} | 3.020 × 10^{26} |
5.058 × 10^{8} | 3.467 × 10^{26} |
6.653 × 10^{8} | 3.090 × 10^{26} |
6.516 × 10^{8} | 3.715 × 10^{26} |
6.252 × 10^{8} | 4.169 × 10^{26} |
8.730 × 10^{8} | 4.169 × 10^{26} |
8.356 × 10^{8} | 5.248 × 10^{26} |
1.012 × 10^{9} | 5.248 × 10^{26} |
1.021 × 10^{9} | 6.166 × 10^{26} |
1.343 × 10^{9} | 6.607 × 10^{26} |
1.352 × 10^{9} | 8.128 × 10^{26} |
1.618 × 10^{9} | 8.128 × 10^{26} |
1.667 × 10^{9} | 9.772 × 10^{26} |
2.328 × 10^{9} | 1.000 × 10^{27} |
2.535 × 10^{9} | 1.288 × 10^{27} |
2.173 × 10^{9} | 1.259 × 10^{27} |
2.228 × 10^{9} | 1.479 × 10^{27} |
2.495 × 10^{9} | 1.514 × 10^{27} |
4.887 × 10^{9} | 1.778 × 10^{27} |
4.498 × 10^{9} | 2.455 × 10^{27} |
4.093 × 10^{9} | 2.570 × 10^{27} |
5.420 × 10^{9} | 3.020 × 10^{27} |
6.699 × 10^{9} | 2.692 × 10^{27} |
7.047 × 10^{9} | 3.020 × 10^{27} |
7.621 × 10^{9} | 3.890 × 10^{27} |
6.209 × 10^{9} | 3.715 × 10^{27} |
7.047 × 10^{9} | 4.677 × 10^{27} |
1.122 × 10^{10} | 5.248 × 10^{27} |
1.349 × 10^{10} | 5.012 × 10^{27} |
Greg Anderson