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NTA Abhyas JEE Main2020PhysicsLaws of MotionPractice

The figure shows the position-time x - t graph of one-dimensional motion of a body of mass 0 . 4 kg . The magnitude of each impulse is

Options

  1. A0 . 4   N   s
  2. B0 . 8   N   s
  3. C1 . 6   N   s
  4. D0 . 2   N   s

Correct answer

B. 0 . 8   N   s

Step-by-step solution

From the graph, it is a straight line so, uniform motion. Because of impulse direction of velocity changes as can be seen from the slope of the graph. I n i t i a l   v e l o c i t y   v 1 = 2 2 = 1   m  s - 1 F i n a l   v e l o c i t y   v 2 = - 2 2 = - 1   m  s - 1 p i = m v 1 = 0.4   N  s p f = m v 2 = - 0.4   N  s J = p f - p i = - 0.4 - 0.4 = - 0.8   N   s     ( J = i m p u l s e ) ∴     J = 0.8   N  s

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