A simple experiment suitable for introductory physical science laboratory instruction involves forming impact craters by dropping spherical objects into a bed of unconsolidated granular material. The experiment is straightforward, and laboratory results for different impact energies, spheres, and granular materials may be collapsed to a single power-law using parametric scaling determined from dimensional analysis. The resulting power law is extrapolated over more than 16 orders of magnitude to produce an estimate of the impact energy that formed the 1.2-km-diameter Barringer Meteor Crater in northern Arizona.
REFERENCES
1.
Joseph C.
Amato
and Roger E.
Williams
, “Crater formation in the laboratory: An introductory experiment in error analysis
,” Am. J. Phys.
66
, 141
–143
(1998
).2.
S.
Kasas
, G.
Dumas
, and G.
Dietler
, “Impact cratering study performed in the laboratory without a fast recording camera
,” Am. J. Phys.
68
, 771
–773
(2000
).3.
Robert W.
Fox
, Philip J.
Pritchard
, and Alan T.
MacDonald
, Introduction to Fluid Mechanics
, 7th ed. (John Wiley
, New York
, 2009
), Chap. 7.4.
Bruce R.
Munson
et al., Fundamentals of Fluid Mechanics
, 7th ed. (John Wiley
, New York
, 2013
), Chap. 7.5.
Pijush K.
Kundu
, Ira M.
Cohen
, and David R.
Dowling
, Fluid Mechanics
, 5th ed. (Academic Press
, Boston
, 2012
), pp. 21
–30
.6.
Grigory I.
Barenblatt
, Similarity, Self-Similarity, and Intermediate Asymptotics
(translated from Russian by Norman Stein, Consultants Bureau
, New York
, 1979
), p. 23
.7.
Geoffrey I.
Taylor
, “The formation of a blast wave by a very intense explosion. Parts I and II
,” Proc. Roy. Soc. London Ser. A
201
, 159
–174
and 175–186 (1950
).8.
Edgar
Buckingham
, “On physically similar systems; Illustrations of the use of dimensional analysis
,” Phys. Rev.
4
, 345
–376
(1914
).9.
Donald E.
Gault
et al., “Some comparisons of impact craters on Mercury and the Moon
,” J. Geophys. Res.
80
, 2444
–2460
, doi: (1975
).10.
Albert J.
Chabai
, “On scaling dimensions of craters produced by buried explosives
,” J. Geophys. Res.
70
, 5075
–5098
, doi: (1965
).11.
See pictures at <http://www.solarviews.com/cap/earth/meteor.htm/> for example.
12.
Eugene M.
Shoemaker
et al., “Hypervelocity impact of steel into Coconino sandstone
,” Am. J. Sci.
261
, 668
–682
(1963
).13.
H. J.
Melosh
and G. S.
Collins
, “Meteor crater formed by low velocity impact
,” Nature
434
, 157
(2005
).14.
Meteor Crater Visitor Center website <http://www.meteorcrater.com/>.
© 2013 American Association of Physics Teachers.
2013
American Association of Physics Teachers
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.