At the instant a 2.0-kg particle has a velocity of 4.0 m/s in the positive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in the positive y direction. What is the speed of the center of mass of the two-particle system

the speed of the center of mass of the two-particle system is 3.4 m/s.

Explanation:

Given that,

Mass of particle 1, m = 2 kg

Velocity of the particle 1, v = 4 m/s in +x direction

Mass of particle 2, m' = 3 kg

Velocity of the particle 2, v' = 5 m/s in +y direction.

The x -coordinate of velocity of the centre of mass is given by :

The y -coordinate of velocity of the centre of mass is given by :

So, the the speed of the center of mass of the two-particle system given by :

So, the speed of the center of mass of the two-particle system is 3.4 m/s.

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