20110508

Backwards-faded scaffolding laboratory/presentation: impact craters

Breaking news--impact event in the not too distant future. But first, a word from our sponsor. And in our next hour, cooking tips for healthier eating in our studio kitchen.

(This is the eleventh Astronomy 210L laboratory at Cuesta College, San Luis Obispo, CA. This course is a one-semester, optional adjunct laboratory to the Astronomy 210 introductory astronomy lecture, taken primarily by students to satisfy their general education science transfer requirement.)

Let's first consider impact events from the distant, and also not-so-distant past.

Notably the "K-T" (Cretaceous-Tertiary) extinction event about 65 million years ago.

What would happen if you were a dinosaur living at that time? According to this artistic depiction, the ceratopsid on the left may have already perished from the blast wave, or maybe has just laid down due to the sheer despair of acknowledging its impending doom. Or maybe you would feel more like the plesiosaur on the right, either surfing its last killer wave, or asphyxiating from lack of oxygen.

This sort of stuff happens more often than you might like to think. Consider a much smaller event about a century ago in remote Siberia.

The air blast from this impact devastated the landscape below, fortunately far away from inhabited areas.

So why wait around for the next impact event to happen on Earth?

Why not get some payback for the dinosaurs, which NASA got by launching a washing machine-sized projectile into a comet nucleus?

Besides the obvious gratification, the science that can be done is in looking at the composition of the material flung out from the impact, in order to determine the ingredients of a comet. Also by making and freezing these ingredients, varying their compactness from fluffy to firmly packed, results from shooting projectiles into these lab samples can be compared with the size of the impact crater on the comet, in order to determine the type of cratering process in this material.

Which is what you get to do in laboratory today.

By dropping objects of different mass, or different height, you can create different energy impact events.

And you can measure the resulting diameters of these resulting impact craters.

By plotting the different impact energies versus impact crater diameters, you can determine the cohesion of a material, and the type of cratering process in this material.

Plotting different impact energies versus crater diameters should result in a linear data set, as graphed with "log-log" scales.

And by drawing a best fit line (not just "connecting the dots") for your data set...

You can slide a slope template to find the impact cratering process that best fits your data set.

EQUIPMENT
15 cm rulers (small, flexible)
meter sticks
material containers
medium-grain playground sand
coarse water softener salt
fine-grain table salt
baking soda
stainless steel balls
digital weight scales
hanging mass set (10 g, 20 g, 50 g, 100 g, 200 g, 500 g, 1000 g)

"Impact Energy vs. Crater Diameter Log-Log Graph"

"Impact Process Template"

BIG IDEA
Depending on the specific circumstances, an impactor will create a crater in a target material principally due to one of four processes:
  • Avalanche (splash): crater diameter set by how much material falls in around impactor.
  • Surface crack/pulverization (thud): crater diameter set by surface disturbed by impactor.
  • Compression (crunch): crater diameter set by material crushed beneath impactor.
  • Excavation (spray): crater diameter set by material thrown outwards by impactor.
GOAL
Students will conduct a series of inquiries about impact processes by varying different impactor and target parameters, and be able to quantitatively categorize different types of impact processes.

TASKS
(Record your lab partners' names on your worksheet.)
1. Exploration
  1. Carefully observe a stainless steel ball falling from 50 cm onto medium-grained sand, as measured from the top of the sand surface. Try this several times; note that you will need to cover your sand box and shake it vertically up-and-down a set number of times between each drop to consistently "reset" your sample surface between each drop.
    Discuss in your group the hypothesized process(es) of crater formation (i.e., "splash, thud, crunch, or spray," and briefly explain what you observed to support your choice(s). Do not worry about guessing the "correct" answer, this is just a preliminary hypothesis. You may note dissenting opinions, if any.

    Medium-grain sand crater process hypothesis: __________.
    Explanation of choice: __________.

  2. How the diameter of an impact crater is measured is a qualitative decision. Thus it is important to measure these diameters consistently. In order to do this, first make several trial impacts from different heights (do not record data yet), and discuss and agree in your group on a consistent description of a crater edge that can apply generally for impactors dropped from heights ranging from 10 cm to 100 cm, as measured from the top of the surface. Also record the mass of your stainless steel ball, in grams.

    Description/drawing of crater "edge" definition: __________.

    Mass of stainless steel ball: __________ g.

  3. Release (do not throw down) the impactor from 10 cm to 100 cm, in 10 cm increments, as measured from the top of the surface of medium-grain sand (in order to vary its energy), and measure its crater diameter. Make at least three drops for each height in order to test for consistent results. Then for each drop height, calculate the impact energy (in kiloergs) = (mass, in g)*(height, in cm), and the average crater diameter. (Example: a 50 g impactor released from 20 cm would have 50*20 = 1,000 kiloergs of impact energy.)

    Make a table compiling your drop heights (in cm), impact energies (in kiloergs), and crater diameters (in cm).

    Impactor
    height (cm):
    Impact
    energy (kiloergs):

    Crater diameters (cm):
    Average crater
    diameter (cm):
    10 cm
    _____, _____, _____.
    20 cm _____, _____, _____.
    30 cm
    _____, _____, _____.
    40 cm
    _____, _____, _____.
    50 cm
    _____, _____, _____.
    60 cm
    _____, _____, _____.
    70 cm
    _____, _____, _____.
    80 cm
    _____, _____, _____.
    90 cm
    _____, _____, _____.
    100 cm
    _____, _____, _____.

  4. Plot the data points from (c) on a group "Crater Diameter vs. Impact Energy Log-Log Graph," and use a ruler to draw a straight best-fit line across the entire graph.
2. Does Evidence Match a Previous Hypothesis?
The slope of your "Impact Energy vs. Crater Diameter Log-Log Graph" is related to the specific cratering process involved. Place the "Impact Process Template" over your graph, and slide it left or right while keeping the horizontal and vertical baselines aligned to determine which impact process slope is most parallel to your best-fit line.
Does your data support or refute your original cratering process hypothesis? Explain your reasoning and provide specific evidence from data to support your reasoning.

3. What Conclusions Can You Draw From This Evidence?
The table below summarizes the results of dropping different mass impactors, all from the same height (20 cm) into medium-grain sand.

Impactor
mass (g):
Impact
energy (kiloergs):

Crater diameters (cm):
Average crater
diameter (cm):
10 g
3.0, 3.0, 2.8, 3.0, 2.5 cm
20 g
3.0, 3.8, 3.3, 3.5, 3.5 cm
50 g
3.5, 4.2, 4.9, 5.0, 5.1 cm
100 g
5.0, 5.2, 5.5, 5.0, 5.4 cm
250 g
6.0, 7.0, 6.2, 5.8, 5.9 cm
500 g
7.0, 8.8, 8.2, 7.5, 8.0 cm

What conclusions and generalizations can you make from the information given above in terms of "Does varying impactor energy by varying mass (while keeping drop height constant), and by varying drop height (while keeping mass constant) give the same results for determining medium-grain sand cratering processes?" Explain your reasoning and provide specific evidence (a group "Crater Diameter vs. Impact Energy Log-Log Graph," with data points plotted, and best-fit line), to support your reasoning.

4. What Evidence Do You Need to Pursue?
Recall that you covered your sand box and shook it vertically up-and-down between each drop to consistently "reset" your sample. Consider the following claim:
"If the sand box is shaken side-to-side between each drop, the sand grains will sift and settle, becoming more tightly compacted for the next drop from the same height."
Describe precisely what evidence you would need to collect in order to answer the research question of, "How does a 'side-to-side reset' for medium-grain sand affect the results of each subsequent drop from the same height?" You do not need to actually complete the steps in the procedure you are writing.
Create a detailed, step-by-step description of evidence that needs to be collected and a complete explanation of how this could be done--not just "drop the ball multiple times," but exactly what would someone need to do, step-by-step, to accomplish this. You might include a (blank) table and sketches--the goal is to be precise and detailed enough that someone else could follow your procedure.

5. Formulate a Question, Pursue Evidence, and Justify Your Conclusion
Design an answerable research question), propose a plan to pursue evidence, collect data, and create an evidence-based conclusion about an aspect that you have not completed before. (Have your instructor approve your whiteboard research question before proceeding further.)
Research report summary on whiteboards/poster paper, to be worked on and presented to the class as a group, should include:
  1. Specific research question.
  2. Step-by-step procedure to collect evidence.
  3. Data table and/or results (including graph(s)).
  4. Evidence-based conclusion statement.


Procedure adapted from Gary Parker, "Low Velocity Impact Craters In The Lab," presented at Cosmos In The Classroom 2004 (*.html).

2 comments:

  1. Astronomy 210L, Spring Semester 2011
    Cuesta College, San Luis Obispo, CA

    Online post-lab assignment 10

    Discuss the most interesting aspect of this lab, and explain why this was personally interesting for you.

    The following are a sampling of the student responses to this question, verbatim and unedited.

    "Discovering the impact patterns as they relate to the material consistency"

    "I had no idea why craters form in the way they do, so researching that was interesting."

    "being able to see the physics behind the making of craters"

    "learning about craters"

    "Debating over the final question"

    "the most interesting aspect of the lab was understanding how scientists try to determine how big and how fast the asteroid based on impact diameter."

    "watching the caters form in the sand"

    "seeing that the salt and the medium sand was effected the same way was interesting."

    "Imagining dinosaurs in space."

    "Seeing how the impact was affected with different material."

    "It was neat to hear your joke about payback for the dinosaurs."

    "dropping the ball into the sand."

    "Getting to experience everything hands on"

    "Dropping stuff, the physical act makes the lab much more interesting"

    "that rock salt and meduim-grain sand have the same crater process."

    "I loved how this lab was hands on."

    "I thought it was really fun to have a hands on lab"

    "The whole lab was pretty interesting for me."

    "actually doing something was kinda fun, rather that just writing."

    "it was kinda fun to actually do something physically, rather that just looking at graphs and stuff."

    "I thought examining the differences between crater sizes were interesting because the outcomes were not what I expected."

    "working with other people"

    "How different materials made different crater sizes."

    "Seeing how an object influences the outcome of another when they intersect."

    "I really liked the whole lab in general. It was fun and interesting dropping the weights in the sand and comparing that to craters hitting planets."

    "I like dropping the ball."

    "I liked dropping the impactor in the sand. It was interesting to see the crater that was made when it was dropped from different heights/"

    "considering the impact it could have on our planet makes it pretty interesting (no pun intended)"

    "i liked it because it was more hands on than some of the other labs."

    "I liked being able to be hands on in this lab"

    "measuring"

    "This was the most interesting lab so far, by using the different weights and changing the distance to find how big the impact was."

    "I thought it was fun that this lab was hands on."

    "How there can be different types of craters"

    "Finding out the impact crater of the different materials"

    "talking about the dinosaurs a little"

    "it was interesting watching impacts on different materials"

    "The most interesting thing about this lab was that is was FUN!!"

    "Getting to actually do some lab type experiments."

    "It was fun to drop balls into sand and baking soda."

    "how the crater is formed"

    "The outcome of the tests."

    "it was interesting to analyze the 'crater' impacts and types."

    "Making the impact craters and determining how big they are from different heights"

    ""I liked dropping the ball into sand."

    "Finding out that the graph lined up almost perfectly with splatter!"

    "would have been watching what happened when the ball was dropped"

    "I liked dropping the ball into the sand."

    ReplyDelete
  2. Astronomy 210L, Spring Semester 2011
    Cuesta College, San Luis Obispo, CA

    Online post-lab assignment 10

    Discuss the most confusing aspect of this lab, and explain why this was personally confusing for you.

    The following are a sampling of the student responses to this question, verbatim and unedited.

    "Varying data for lighter materials."

    "The only really tough part was deciding where the 'edge' of the craters we made in class were because we used sand and deciding whether the sand was raised or not was difficult."

    "nothing was confusing"

    "how does a asteroid kill every dino on the planet?"

    "formulating the research question"

    "trying to come up with a question"

    "Nothing was confusing :)"

    "trying not to miss the container when dropping the ball from 100cm"

    "Everything was clear"

    "judging between a thud and splash, both seeming to occur in my results"

    "i had a hard time figuring out where the crater ended."

    "Coming up with a research question different enough from every one else's question was the most difficult."

    "It wasn't confusing at all"

    "nothing too confusing"

    "what is confusing about dropping a ball in dirt?"

    "the graphing all the points tripped me up."

    "was trying to understand exactly why the baking soda did did not spray like we expected it to"

    "Creating a question and answering it"

    "Nothing very confusing.. we just messed up our research question a bit"

    "Writing the question is always the hardest because your put in the instructors shoes."

    "developing a research question out of the information that we had."

    "Nothing was confusing"

    "I don't think that there was too confusing."

    "measuring the craters wasnt always easy"

    "i wasn't confused during this lab."

    "nothing was confusing"

    "measuring"

    "i didn't think that this lab was confusing."

    "it was not very confusing"

    "None"

    "Measuring rock salt craters"

    "not too confusing"

    "Trying to determine what kind of model the impact was creating"

    "There wasn't really anything that was that confusing."

    "How the weight of the ball would affect the graph."

    "Not too confusing."

    "how crater is formed"

    "Trying to figure out a hypothoses"

    "not so much."

    "I didn't think anything was confusing during this lab"

    "Nothing was very confusing"

    "The Research Question of course!"

    "Figuring out why the results were so different after dropping the ball into the sand."

    "Nothing reallY!"

    "i didnt find anything confusing"

    "Nothing."

    ReplyDelete