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NEET2021PhysicsCenter of Mass, Momentum and CollisionActual

A ball of mass 0 . 15   kg is dropped from a height 10   m strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is g = 10   m   s - 2 nearly :

Options

  1. A0   kg   m   s - 1
  2. B2 . 1   kg   m   s - 1
  3. C4 . 2   kg   m   s - 1
  4. D1 . 4   kg   m   s - 1

Correct answer

C. 4 . 2   kg   m   s - 1

Step-by-step solution

m = 0 . 15   kg ;   h = 10   m v = 2 g h = 2 × 9 . 8 × 10 = 14   m   s - 1 As we know, Impulse = change in momentum = p f - p i = 0 . 15 × 14 - - 0 . 15 × 14 = 2 × 0 . 15 × 14 = 4 . 2   kg   m   s - 1 ( To raise back to same height, rebounds velocity is same as the hitting velocity)

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