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NEETPhysicsCenter of Mass, Momentum and Collision

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. A(0.4 ~N - s )
  2. B(0.8 ~N - s )
  3. C(1.6 ~N - s )
  4. D(0.2 ~N - s )

Correct answer

B. (0.8 ~N - s )

Step-by-step solution

From the graph, it is a straight line so, it represents uniform motion. Because of impulse direction of velocity changes as can be seen from the slope of the graph. Initial velocity, (v₁= 2 2 =1 ~ms ⁻¹ ) Final velocity, (v₂= -2 2 =-1 ~ms ⁻¹ ) ( aligned & & 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 | & =0.8 ~N - s aligned )

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