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JEE Main2010PhysicsCenter of Mass, Momentum and CollisionActual

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 Ns
  2. B0.8 Ns
  3. C1.6 Ns
  4. D0.2 Ns

Correct answer

B. 0.8 Ns

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. aligned & Initial velocity = 2 2 =1 ~m / s & Final velocity =- 2 2 =-1 ~m / s & P _ i =0.4 ~N - s & P _ i =-0.4 ~N - s & J = P _ i - P _ i =-0.4-0.4=-0.8 ~N - s ( J = impulse ) & | J |=0.8 ~N - s aligned

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