Purpose
To determine the factors affecting the appearance of impact craters and
ejecta.
Materials
1 pan; "lunar" surface material; tempera paint, dry sieve or sifter, balance,
3 impactors (marbles or other spheres); meter stick, ruler, plastic with
middle depression; protractor; "Data Chart" for each impactor; graph paper.
1. Making an hypothesis:. After looking at photographs of the Moon,
how do you think the craters were formed? What do you think are factors
that affect the appearance of craters and ejecta?
2. Preparing a "lunar" test surface: Fill a pan with surface material
to a depth of about 2.5 cm. Smooth the surface, then tap the pan to
make the materials settle evenly. Sprinkle a fine layer of dry tempera
paint evenly and completely over the surface. Use a sieve or sifter
for more uniform layering. What does this "lunar" surface look like
before testing?
3. Use the balance to measure the mass of each impactor. Record the
mass on the "Data Chart" for this impactor. Drop impactor #1 from a
height of 30 cm onto the prepared surface. Measure the diameter and
depth of the resulting crater. Note the presence of ejecta (rays). Count
the rays, measure, and determine the average length of all the rays.
Record measurements and any other observations you have about the appearance
of the crater on the Data Chart. Make three trials and compute the average
values.
4. Repeat steps 2 through 5 for impactor #1, increasing the drop heights
to 60 cm, 90 cm, and 2 meters. Complete the Data Chart for this impactor.
Note that the higher the drop height, the faster the impactor hits the
surface. Next, repeat steps 1 through 6 for two more impactors. Use
a separateData Chart for each impactor. Graph your results. Graph #1
is Average crater diameter vs. impactor height or velocity. Graph #2
is Average ejecta (ray) length vs. impactor height or velocity. Note:
on the graphs, use different symbols (e.g., dot, triangle, plus, etc.)
for different impactors.
Results
1. Is your hypothesis about what affects the appearance and size of
craters supported by test data? Explain why or why not. What do the
data reveal about the relationship between crater size and velocity
of impactor. What do the data reveal about the relationship between
ejecta (ray) length and velocity of impactor.
2. If the impactor were dropped from 6 meters, would the crater be
larger or smaller? How much larger or smaller? Explain your answer.
(Note: the velocity of the impactor would be 1,084 centimeters per second.)
Based on the experimental data, describe the appearance of an impact
crater.
3. The size of a crater made during an impact depends not only on the
mass and velocity of the impactor, but also on the amount of kinetic
energy possessed by the impacting object. Kinetic energy, energy in
mostion, is described as: where, m = mass and v = velocity. During impact,
the kinetic energy of an asteroid is transferred to the target surface,
breaking up rock and moving the particles around. How does the kinetic
energy of an impacting object relate to crater diameter?
4. Looking at the results in your Data Tables, which is the most important
factor controlling the kinetic energy of a projectile, its diameter,
its mass, or its velocity? Does this make sense? How do your results
compare to the kinetic energy equation? Try plotting crater diameter
vs. kinetic energy as Graph #3. The product of mass (in grams) and velocity
(in centimeters per second) squared is a new unit called "erg."
Data Chart
Drop Height = 30 cm (Velocity = 242 cm/s)
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Trial 1
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Trial 2
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Trial 3
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Total
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Average
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Crater Diameter
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Crater Depth
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Average Length of all Rays
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Drop Height = 60 cm (Velocity = 343 cm/s)
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Trial 1
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Trial 2
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Trial 3
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Total
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Average
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Crater Diameter
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Crater Depth
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Average Length of all Rays
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Drop Height =90 cm (Velocity = 420 cm/s)
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>Trial 1
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Trial 2
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Trial 3
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Total
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Average
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Crater Diameter
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Crater Depth
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Average Length of all Rays
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Drop Height = 2 meters (Velocity = 626 cm/s)
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Trial 1
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Trial 2
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Trial 3
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Total
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Average
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Crater Diameter
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Crater Depth
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Average Length of all Rays
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