1D Perfectly Elastic Collisions
Description
by Dr. D.G. Simpson, http://www.pgccphy.net/1030/software.html
Given the masses m1 and m2 of two bodies and their initial velocities v1i and v2i, this program finds the post-collision velocities v1f and v2f using
m1 - m2 2m2
v1f = (—————————) v1i + (—————————) v2i
m1 + m2 m1 + m2
2m1 m2 - m1
v2f = (—————————) v1i + (—————————) v2i
m1 + m2 m1 + m2
To run the program, enter:
m1 ENTER m2 ENTER v1i ENTER v2i f A
The program will return the post-collision velocities v1f (in the X register) and v2f (in the Y register), in the same units.
Example:
Let m1 = 2.0 kg, m2 = 7.0 kg, v1i = 4.0 m/s, and v2i = -5.0 m/s.
Enter the above program, then type:
2 ENTER 7 ENTER 4 ENTER 5 CHS f A
The program returns v1f = -10 m/s in the X register, and v2f = -1 m/s in the Y register.
Program Resources
Labels
Name |
Description |
|
A |
1D Perfectly Elastic Collisions |
|
Storage Registers
Name |
Description |
|
.0 |
Stores m1 + m2 |
|
.1 |
Stores m1 |
|
.2 |
Stores m2 |
|
.3 |
Stores v1f |
|
.4 |
Stores v1i |
|
.5 |
Stores v2i |
|
Program
Line |
Display |
Key Sequence |
|
Line |
Display |
Key Sequence |
|
000 |
|
|
|
022 |
20 |
× |
|
001 |
42,21,11 |
f LBL A |
|
023 |
45 .0 |
RCL . 0 |
|
002 |
44 .5 |
STO . 5 |
|
024 |
10 |
÷ |
|
003 |
33 |
R⬇ |
|
025 |
40 |
+ |
|
004 |
44 .4 |
STO . 4 |
|
026 |
44 .3 |
STO . 3 |
|
005 |
33 |
R⬇ |
|
027 |
2 |
2 |
|
006 |
44 .2 |
STO . 2 |
|
028 |
45 .1 |
RCL . 1 |
|
007 |
33 |
R⬇ |
|
029 |
20 |
× |
|
008 |
44 .1 |
STO . 1 |
|
030 |
45 .4 |
RCL . 4 |
|
009 |
45 .2 |
RCL . 2 |
|
031 |
20 |
× |
|
010 |
30 |
− |
|
032 |
45 .0 |
RCL . 0 |
|
011 |
45 .1 |
RCL . 1 |
|
033 |
10 |
÷ |
|
012 |
45 .2 |
RCL . 2 |
|
034 |
45 .2 |
RCL . 2 |
|
013 |
40 |
+ |
|
035 |
45 .1 |
RCL . 1 |
|
014 |
44 .0 |
STO . 0 |
|
036 |
30 |
− |
|
015 |
10 |
÷ |
|
037 |
45 .0 |
RCL . 0 |
|
016 |
45 .4 |
RCL . 4 |
|
038 |
10 |
÷ |
|
017 |
20 |
× |
|
039 |
45 .5 |
RCL . 5 |
|
018 |
2 |
2 |
|
040 |
20 |
× |
|
019 |
45 .2 |
RCL . 2 |
|
041 |
40 |
+ |
|
020 |
20 |
× |
|
042 |
45 .3 |
RCL . 3 |
|
021 |
45 .5 |
RCL . 5 |
|
043 |
43 32 |
g RTN |
|