The aim of this paper is to propose a method for solving head-on elastic collisions, without algebraic complications, to emphasize the use of the fundamental conservations laws. Head-on elastic collisions are treated in many physics textbooks as examples of conservation of momentum and kinetic energy:
References
1.
D.
Halliday
, J.
Walker
and R.
Resnick
, Fundamentals of Physics Extended
, 10th ed. (Wiley
, New York
, 1997
), p. 239
.2.
H. D.
Young
and R. A.
Freedman
, Sears and Zemansky’s University Physics, with Modern Physics
, 14th ed. (Pearson Education
, 2015
), p. 252
.3.
L.
Edward Millet
, “The one-dimensional elastic-collision equation: vi = 2vc − vi
,” Phys. Teach.
36
, 186
(March
1998
).4.
Hui
Hu
, “More on one-dimensional collisions
,” Phys. Teach.
40
, 72
(Feb.
2002
).5.
Deb
Funk
, “Elastic collisions with two moving objects made simple
,” Phys. Teach.
44
, 80
–81
(Feb.
2006
).6.
Robert J.
Dufresne
, William J.
Gerace
, and William J.
Leonard
, “Solving physics problems with multiple representations
,” Phys. Teach.
35
, 270
–275
(May
1997
).7.
Eugene
Levin
, “Energy in the center of mass
,” Am. J. Phys.
55
, 909
(Oct.
1987
).8.
T. L.
Chow
, Classical Mechanics
, 2nd ed. (CRC Press
, New York
, 2013
), p. 313
.9.
D. K.
Jha
, Text Book of Vector Dynamics
(Discovery Publishing House
, New Delhi
, 2005
), p. 107
.10.
C. T.
Tindle
, “An intuitive approach to collisions
,” Phys. Teach.
36
, 344
–346
(Sept.
1998
), andA. P.
French
, “Intuitively obvious?
” Phys. Teach.
36
, 453
(Nov.
1998
).© 2017 American Association of Physics Teachers.
2017
American Association of Physics Teachers
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