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The force ‘ F ' acting on a particle of mass ‘ m ' is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is:

Options

  1. A24 N s
  2. B20 N s
  3. C12 N s
  4. D6 N s

Correct answer

C. 12 N s

Step-by-step solution

As we know that:- Area under force-time graph gives as momentum ∆ P = ar of given curve ∆ P = 1 2 × b × h + l 1 × b 1 + l 2 × b 2 ∆ P = 1 2 2 6 - 3 2 + 4 2 3 = 6 - 6 + 12 = 12

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