Momentum and CollisionHard

Question

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

A.0.4 Ns
B.0.8 Ns
C.1.6 Ns
D.0.2 Ns

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.
Initial velocity = = 1 m/s
Final velocity = - = - 1 m/s
= 0.4 N - S
= - 0.4 N - S
= - 0.4 - 0.4 = - 0.8N - s (J = impulse)
= 0.8 N - s

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