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

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SUMMARY

The discussion focuses on calculating the center of mass velocity for a system of two 30 kg masses with given velocities v1 = 14i - 18j and v2 = -28i + 14j. The solution involves applying the principle of conservation of momentum. By summing the momenta of both masses and dividing by the total mass, the center of mass velocity is determined to be v_cm = (-7i - 2j) m/s.

PREREQUISITES
  • Understanding of vector addition in physics
  • Familiarity with the concept of center of mass
  • Knowledge of conservation of momentum principles
  • Basic proficiency in solving equations involving vectors
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  • Study vector addition and subtraction in physics
  • Learn about the center of mass calculations in multi-body systems
  • Explore conservation of momentum in elastic and inelastic collisions
  • Practice problems involving momentum and center of mass in two-dimensional motion
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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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Start with conservation of momentum
 

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