Finding the Total Momentum of a Three Particle System

In summary, to find the total momentum of the system of three particles, we must add the individual momentums of each particle, which is calculated by multiplying the mass of each particle by its respective velocity. Attempting to multiply the mass of one particle by the velocity of another particle does not result in a meaningful calculation.
  • #1
Westin
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...
 
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  • #2
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.
Westin said:
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?
 

FAQ: Finding the Total Momentum of a Three Particle System

What is a Three Particle System?

A Three Particle System is a physical system that consists of three particles that interact with each other through forces such as gravity, electrostatic force, or nuclear forces. These particles could be atoms, subatomic particles, or even celestial bodies.

What are the properties of a Three Particle System?

The properties of a Three Particle System depend on the properties of the individual particles, their positions, and the forces acting between them. These properties include mass, charge, momentum, and energy.

How are Three Particle Systems studied?

Three Particle Systems are studied through mathematical models and computer simulations. Scientists also use experimental methods, such as particle accelerators, to observe and analyze the behavior of these systems.

What are some real-life examples of Three Particle Systems?

Some examples of Three Particle Systems in real-life include the interaction between the Earth, Moon, and Sun in our solar system, the protons and neutrons inside an atomic nucleus, and the three quarks that make up a proton or neutron.

Why are Three Particle Systems important in science?

Three Particle Systems are important in science because they help us understand the fundamental laws of nature, such as gravity and electromagnetism. Studying these systems also allows us to make predictions and develop technologies that rely on these principles, such as space exploration and nuclear energy.

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