2. The site mentions that a potential asteroid impact can change its Torino scale value. Give two reasons why such a change may occur.
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1 Astronomy 101 Name(s): Lab 7: Impacts! On June 30, 1908, a low-density 80-meter diameter asteroid entered the atmosphere above Tunguska, Siberia and generated a shock wave that flattened millions of trees and heat that scorched millions more, yet did not leave an impact crater. Forty-nine thousand years ago, near Holbrook, Arizona, the impact of a 50-meter diameter iron asteroid did stay intact and did generate a large crater, called Barringer Crater (formerly Meteor Crater ). Recently, asteroid 1950 DA made the news because, due to some fortuitous observations, its orbit was calculated to an unusually high degree of precision. The calculations showed that the 1.1 km diameter body has a small, but nonzero, chance of striking Earth in the year What would the effects of such an asteroid be? The following problems are designed to gain an overview of impact research. NASA maintains some very nice web pages on impacts. At for instance, you get the diagram on the next page (called the Torino scale of impacts for the site of the conference at which it was adopted). Below is how to place the numbers in context of their range and probability.
2 1. a. From the graph on the previous page, estimate the kinetic energy (in megatonnes of a 5 km diameter asteroidal impactor (a cometary impactor would have to be larger for the same kinetic energy release). By way of comparison, the largest nuclear weapon ever designed by humans was a Soviet Tsar Bomba at 100 megatonnes. b. Draw a horizontal line across the graph at that energy (equivalent to the 5 km diameter impactor). How can any part of that graph be considered 0 hazard? In other words, what s the saving grace of this type of impact?
3 2. The site mentions that a potential asteroid impact can change its Torino scale value. Give two reasons why such a change may occur. Go to another part of the NASA site at Examine the table of NEAs (near-earth asteroids)). 3. a. List the names of the asteroids have a non-zero Torino scale value. b. Why was asteroid 1950 DA removed from the list? 4. There seems to be a different scale by which you can assess the danger of impact the Palermo scale (apparently, Italian cities are popular sites of impact hazard conferences). What s the difference between the Palermo scale and the Torino scale? 5. a. At this point, cometary impacts should be distinguished from asteroid impacts. Fill in the table below: Asteroid impact Comet impact Initial speed (high/low) Likelihood of significant vaporization (high/low) Size of impactor (small/large) Size of shock wave due to speed and vapor generation (small/large) b. Go to the University of Illinois at Champaign-Urbana s press release site and read What did the researchers there discover were the two major differences in what was left after the impact that you could distinguish comet impacts from asteroid impacts?
4 Of course, these exciting doomsday scenarios have attracted many researchers to develop programs to predict the effects of various types of impacts. One of the best I ve seen is by Marcus, Melosh and Collins at the Lunar and Planetary Institute at the University of Arizona. Go to Notice that there is a huge array of parameters you can enter about the proposed impact. For fun, you ll simulate the effects of a direct impact centered on the Pike Place Market in downtown Seattle. The distance to the impact (for us) therefore will be 10 km (6 miles). We ll deal with the projectile diameter in a moment. Under projectile density, note that you can either enter a value or else choose a material for the impactor from the pull down menu on the right. 6. What are the numerical values (including units) of the density of impactors made of iron versus those made of ice? Which material is associated with comets? Which with asteroids? Note that the typical impact velocity depends on what the impactor is. We ll deal with the impact angle issue later. The target density can be chosen by choosing a button (and entering a water depth in meters, if needed). Okay, now you re ready to go. Play with the projectile diameter as the variable first. Scenario: an n-meter wide (n given in the table below) asteroid strikes Pike Place Market, which is built on glacial till (a sedimentary rock). 7. Write out the parameters that you will use (where possible, use typical values): density (kg/m 3 ) = Impact velocity (km/s) = Impact angle (degrees) = Target parameter = Having set those parameters, now fill in the table below as you vary only the projectile diameter:
5 Interval between impacts of this type (years) (yes/no); if yes, crater size (km) (1 km) (10 km) (100 km) 8. Did any of the impacts make any global changes? 9. Now suppose the same impactor hit 10 km (6 miles away) in Puget Sound, in 100 m deep water. Fill in the table again, just making this one change. Interval between impacts of this type (years) (yes/no); if yes, crater size (km) (1 km) (10 km) (100 km)
6 10. What are the general trends you notice with having a water impact versus a land impact? Are the effects in general worse for life, or better, or about the same? 11. Now suppose the same impactor hit 10 km (6 miles away) on Beacon Hill (where Amazon, Inc., headquarters is). Beacon Hill is made of basalt, a crystalline rock. Fill in the table again, just making this one change. 10 Interval between impacts of this type (years) (yes/no); if yes, crater size (km) (1 km) (10 km) (100 km) 12. What are the general trends you notice with having an impact on sedimentary rock versus an impact on crystalline rock? Are the effects in general worse for life, or better, or about the same? 13. Let s return to impacting Pike Place Market. Reset the parameters for the same impact as in question 7, but this time, make the impactor a comet, and see what happens. Use a projectile diameter of 100 m, and don t forget to adjust the impact velocity! 100 Iron material (yes/no); if yes, crater size (km) 100 Ice
7 14. What are the general trends you notice with having an asteroid impact versus a cometary impact? The differences may not be obvious from the table above. Are the effects in general worse for life, or better, or about the same? (In other words, is a Deep Impact scenario better or worse than an Armageddon scenario?) 15. Return to having an asteroid hit Pike Place Market. Now vary the angle at which the impactor hits. Fill in the table: Impact angle (degrees) (yes/no); if yes, crater size (km) What differences are evident from the impact angle? The differences may not be obvious from the table above. A couple of sites with some lists of historical impacts allow you to enter and simulate some classical impacts. tigger.uic.edu/~pankaj/science/asteroid.html
8 17. The textbook on page 140 makes the claim that the transition between simple and complex craters takes place somewhere around 2 to 4 km in crater diameter. Assume an iron meteorite striking the Earth at a relative velocity of 17 km/s. Find the largest diameter projectile that will make a simple crater; then find the smallest diameter projectile that will make a complex crater. Simple or complex crater? We can, of course, perform our own experiments. The best medium on which to make artificial craters is dry cement or flour. Spread about thirty pounds of it over a square meter area. Then start dropping objects into it. 18. We ll start with marbles. Weigh a couple of marbles to make sure that they are about the same mass. Then drop them straight down from various heights and measure a) the radius of the ejecta field, b) the diameter of the crater and c) the depth of the crater. Try to get a complex crater if you can. Mass of marble (kg) Height of drop (m) Simple or complex crater? Radius of ejecta field (cm) Crater diameter (cm) Crater depth (cm)
9 19. Using the numbers in the previous table, calculate the following entries (the first two columns of numbers should be identical to the previous table). Mass of marble (kg) Height of drop (m) Velocity at impact (m/s)* of impact (J)** Depth of crater/diameter of crater *The velocity at impact can be calculated from the formula v = 2 g h where v is the velocity at impact in m/s, g is the acceleration due to gravity in m/s 2 and h is the height of the drop in m. Clearly, we are neglecting air resistance and other factors here. **The energy of the impact can be calculated using the formula E = (1/2) m v 2 where E is the energy of the impact in J, m is the mass of the projectile in kg and v is velocity at impact of the projectile in m/s. 20. a. Was your depth/diameter of crater constant? Compare your value(s) to the one given on page 140 of the text (in the yellow box). Does flour make a good substitute for rock in illustrating this point? b. Did you get a complex crater? If so, what was the approximate diameter at which the transition from simple to complex took place? If not, suggest what parameter in the experiment should be changed (based on what you learned from the impactor modelling program) in order to generate a complex crater. c. Is there a correlation between the energy of the impact and the radius of the ejecta field? Is it linear? exponential?
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