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NEET2011PhysicsCenter of Mass, Momentum and CollisionActual

A mass m moving horizontally (along the x -axis) with velocity v collides and sticks to mass of 3 m moving vertically upward (along the y -axis) with velocity 2 v . The final velocity of the combination is

Options

  1. A1 4 v i + 3 2 y j
  2. B1 3 v i + 2 3 v j
  3. C2 3 v i + 1 3 j
  4. D3 2 v i + 1 4 v j

Correct answer

A. 1 4 v i + 3 2 y j

Step-by-step solution

From the law of conservation of linear momentum aligned m v+(3 m)(2 v) & =(4 m) v^ m v i +6 m v j & =4 m v^ v^ & = 1 4 v i + 6 4 v j y^ & = 1 4 v i + 3 2 v j aligned

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