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99 Percentile Qs Bank for JEE MainPhysicsCenter of Mass, Momentum and Collision

A body of mass 3 ~kg moving with a velocity (2 i +3 j +3 k ) m / s collides with another body of mass 4 ~kg moving with a velocity [3 i +2 j -3 k ] m / s . The two bodies stick together after collision. The velocity of the composite body is

Options

  1. A1 7 (4 i +6 j -3 k )
  2. B1 7 (18 i +17 j -3 k )
  3. C1 7 (6 i +4 j -6 k )
  4. D1(9 i +8 i -6 k )

Correct answer

B. 1 7 (18 i +17 j -3 k )

Step-by-step solution

Given, mass of first body (m₁ )=3 ~kg aligned Velocity of first body (v₁ ) & =(2 i +3 j +3 k ) m / s Mass of second body (m₂ ) & =4 ~kg Velocity of second body (v₂ ) & =(3 i +2 j -3 k ) m / s aligned According to law of conservation of linear momentum, array lc & m₁ v₁+m₂ v₂= (m₁+m₂ ) v & (2 i +3 j +3 k ) 3+(3 i +2 j -3 k ) 4=(4+3) v & 6 i +9 j +9 k +12 i +8 j -12 k =7 ~V & 18 i +17 j -3 k =7 ~V array v= 1 7 (18 i +17 j -3 k )

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