Calculating Center of Mass Velocity for Two 30 kg Masses | Find v in m/s

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To find the velocity of the center of mass for two 30 kg masses with given velocities, the conservation of momentum principle is applied. The total momentum of the system is calculated by summing the individual momenta of the two masses. The center of mass velocity is then determined by dividing the total momentum by the total mass. The resulting velocity is expressed in terms of its components in the i and j directions. This approach allows for a clear calculation of the center of mass velocity in m/s.
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1. Two 30 kg masses have velocities (in m/s) of v 1 = 14 i - 18 j and v 2 = - 28 i + 14 j. Determine the velocity of the center of mass of the system.



I am having a problem on how to set the problem up to find the velocity in terms of v= i and j
 
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