mirror of
https://github.com/mfillpot/mathomatic.git
synced 2026-01-09 04:59:37 +00:00
24 lines
675 B
Plaintext
24 lines
675 B
Plaintext
; Combine the equations for conservation of momentum and kinetic energy
|
|
; to solve for the resulting velocity of two objects colliding head on.
|
|
clear all
|
|
; equations for energy:
|
|
e1=1/2*mass1*velocity1_old^2
|
|
e2=1/2*mass2*velocity2_old^2
|
|
e3=1/2*mass1*velocity1_new^2
|
|
e4=1/2*mass2*velocity2_new^2
|
|
e1+e2=e3+e4
|
|
eliminate all
|
|
; equations for momentum:
|
|
#1: u1=mass1*velocity1_old
|
|
#2: u2=mass2*velocity2_old
|
|
#3: u3=mass1*velocity1_new
|
|
#4: u4=mass2*velocity2_new
|
|
u1+u2=u3+u4
|
|
eliminate all
|
|
clear 1-4
|
|
eliminate velocity1_new
|
|
velocity2_new
|
|
simplify
|
|
velocity2_new = ((sign*((mass1*(velocity1_old-velocity2_old))^2)^.5)+(mass1*velocity1_old)+(mass2*velocity2_old))/(mass1+mass2)
|
|
compare 6
|