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AP EAMCET2007PhysicsCenter of Mass, Momentum and Collision

Two bodies of 6 ~kg and 4 ~kg masses have their velocity 5 i -2 j +10 k and 10 i -2 j +5 k respectively. Then the velocity of their centre of mass is

Options

  1. A5 i +2 j -8 k
  2. B7 i +2 j -8 k
  3. C7 i -2 j +8 k
  4. D5 i -2 j +8 k

Correct answer

C. 7 i -2 j +8 k

Step-by-step solution

Given, m₁=6 ~kg , m₂=4 ~kg v ₁=5 i -2 j +10 k , v ₂=10 i -2 j +5 k The velocity of centre of mass is aligned v & = m₁ v ₁+m₂ v ₂ m₁+m₂ & = 6(5 i -2 j +10 k )+4(10 i -2 i +5 k ) 6+4 & = 70 i -20 j +80 k 10 & =7 i -2 j +8 k aligned

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