Consider a system of three particles:
One particle has mass m1= 2 kg, position r→1= <−5,−1,0> m, and velocity v→1= <3,−2,−5> m/s.
The second particle has mass m2= 9 kg, position r→2= <4,2,0> m, and velocity v→2= <8,−10,0> m/s.
The third particle has mass m3= 9 kg, position r→3= <4,4,0> m, and velocity v→3= <6,−8,0> m/s.
Find the total momentum of the system consisting of all three particles.
kg m / s
One way to think of systems made of many parts is to separate the motion into two parts. One part is the center of mass motion. This treats the whole system as single object, a point that has the entire mass of the system and is located at the system's center of mass.
Find the velocity of the center of mass of the system.
m/s
The total kinetic energy of the system can be found by adding up all of the individual kinetic energies. This number represents the total kinetic energy the system shares among its different parts.
What is the total kinetic energy of this system?