A system consists of two particles. Particle 1 with mass 2.0 k g 2.0kg is located at ( 2.0 m , 6.0 m ) (2.0m,6.0m) and has a velocity of ( 3.1 m / s , 2.6 m / s ) (3.1m/s,2.6m/s). Particle 2 with mass 4.5 k g 4.5kg is located at ( 4.0 m , 1.0 m ) (4.0m,1.0m) and has a velocity of ( 1.1 m / s , 0.6 m / s ) (1.1m/s,0.6m/s). Determine the position and the velocity of the center of mass of the system.

Explanation:

From the question we are told that

Mass of particle 1  

Co-ordinate of particle 1 (2.0m,6.0m)

Velocity of Particle 1  

Mass of particle 2  

Co-ordinate of particle 2 (4.0m,1.0m)

Velocity of Particle 1  

Generally the Position is mathematically given as  

Therefore the position is given as

 Solving for Velocity

Generally the velocity of the system is mathematically Given as

For Y

Therefore Velocity

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