|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Computer Intensive Physics
Robert G. Fuller |
|
Portugal Conference |
|
March
6, 199823 University
of Nebraska - Lincoln |
|
|
|
|
|
|
|
|
|
|
 |
|
|
|
can show from the data that the
drag force is proportional to the square
of the velocity. So they do this experiment
and they find that the terminal velocity
increases as the square root of mass of
the coffee filters, then they can use
Newton's second law to find that
the drag force of the air increases as
the square the velocity of the falling
coffee filter. |
|
|
|
|
 |
|
|
|
|
|
|
|
|
Now you are ready to use a
symbolic mathematics program to solve
the equation. Here you can use Maple[TM],
or any of the symbolic programs. You can
write down the gravity force is mg and
that the drag force is proportional to
the square of the velocity (See Figure
41). If you go through this process and
do the Maple commands it looks like Figure
42. |
|
|
|
|
|
|
|
|
|
|
 |
|
|
|
You can ask Maple for the
terminal velocity. First you can write
down "Newton's Second Law,"
mass times the acceleration (the derivative
of velocity with respect to time) is equal
to the weight down minus the drag
force up (second equation, Figure 42). |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
23 |
|
1 2
3 4 5
6 7 8
9 10 11
12 13 14
15 16 17
18 19 20
21 22 23
24 25 26
27 28 29
30 