Three Particle System

  • Thread starter Westin
  • Start date
  • #1
87
0

Homework Statement



Consider a system consisting of three particles:

m1=5kg, v1=
char68.png
-6,6,7
char69.png
m
char3D.png
s

m2=7kg, v2=
char68.png
8,-6,-7
char69.png
m
char3D.png
s

m3=1kg, v3=
char68.png
6,7,13
char69.png
m
char3D.png
s

What is the total momentum of this system?

What is the velocity of the center of mass of this system?[/B]

Homework Equations



p=m*v

The Attempt at a Solution



I tried (m1+m2)(v1+v2) + (m2+m3)(v2+v3)
and (m1+m2+m3)(v1+v2+v3), neither were correct...
 

Answers and Replies

  • #2
291
33
To find the momentum of the system of particles, add the momentums of each of the particles. The momentum of each particle is the mass of each particle multiplied by each particle's respective velocity.
I tried (m1+m2)(v1+v2) + (m2+m3)(v2+v3)
Foiling the first two factors produces m1v1 + m2v2 + m1v2 + m2v1. Why would you multiply the mass of one of the particles by the velocity of another particle? How could this result be meaningful?
 

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