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AN INTRODUCTION TO NEWTONIAN MECHANICS by Edward Kluk Dickinson State University, Dickinson ND |
A need for good, simple and quantitative experiments
in teaching introductory physics on any level is commonly
recognized. Using sonic rangers, photogates, fast photography
etc. we certainly can help our students to understand basic
physics laws. There are, however, two problems related with use
of such equipment. This equipment is relatively expensive, and
preparation of experiments takes a lot of time. A software for
physics lab simulations is not cheap either and usually is
oriented toward applications than investigation of fundamental
laws.
Looking at dynamics of applets (this applet is
courtesy of JavaMachine)
one can realize their potential as simulators of introductory
physics lab experiments. Their big advantage is a possibility to
use them through the Internet with Netscape 2.0 browser (or
higher) or Microsoft Internet Explorer 3.0 installed on an applet
capable platform like Windows 95. Netscape browsers are free of
charge for educational institutions and Internet Explorer is free
for everybody. Nowadays it becomes more likely to find in
colleges and high schools good computers hooked up to Internet
than well equipped physics labs. As a matter of fact applets can
be installed and used locally, without Internet connection, which
makes it even cheaper.
After creation of two
such simulations for experiments in mechanics I have concluded
that they may work best as a support for a Web course of
introductory mechanics. So I have started to develop such course
which hopefully will be fully operational in the end of 1997. In
this course I try to emphasize an experimental base of the
Newtonian mechanics and its relations with mathematics as only
known method capable of quantitative descriptions the nature
laws. The course will be kept as much as possible on an
elementary level. The mathematics used there will not go much
beyond a good high school algebra. Unfortunately true
understanding Newton laws is not possible without at least a type
of calculus invented by Newton himself. Such calculus will be
developed and applied in this course. Thus, this course is not
intended for people who want to memorize a bit of physics to
pass some standard tests and forget about it, but for these who
want truly understand Newtonian mechanics. Students are supposed
to perform all suggested simulations of experiments and make an
elementary mathematical analysis of their
"experimental" results. This analysis should lead to
mathematical formulations of the physics laws. It does not make
much sense to move to a next section without understanding what a
current section is about. Physical laws and principles are very
much interdependent and very often they must be introduced in a
certain order. All of it demands from students self discipline
and hard work.
Those who teach
introductory physics courses may also find some elements of this
course interesting. The applets used here are capable to simulate
many other experiments which are not described in the course but
may be of interest in other courses. But they have their
limitations. For example, none of them let you change initial
conditions for a simulated motion in a continuous way. It means
that you have only limited number of choices. This limitation
keeps applets code relatively simple. More about behaviour of a
particular applet can be found in each part of the course
introducing this applet.
Due to limitations of
HTML mathematical formulae are often printed here in not quite
standard notation. For example, it is not possible to use
standard square root symbol or fraction line. Thus, they are
replaced by power ½ and slash respectively. If you have problems
with some formulae, please rewrite them in standard forms on a
piece of paper.
In actual stage of its
development the course can be used as a supplemental material for
a regular course containing mechanics. When fully developed, it
hopefully will make possible to learn basic Newtonian mechanics
without a lot of external help.
Currently developed
material can be downloaded as a zip
file and used (at least in theory) on any platform with a
browser which is capable to handle applets. But so far the
related applets have beeen tested and found working
correctly on Windows 95 and Windows NT with Netscape
and Internet Explorer 3.0. Tests on Unix gave negative results.
Hopefully I will be able to test it on Macintosh soon. If you
find worth to download it please read the copy rights note. To
use it, extract zip file to a separate directory and open m_cont_h.html
in your browser.
| Last update: Jan 10, 1997 | E - mail to Edward Kluk |
| Copyright (c) 1996 Edward Kluk | |