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

0.4 Ns

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0.8 Ns

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1.6 Ns

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0.2 Ns

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Solution

The correct option is A 0.8 Ns
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 $= \frac{2}{2} = 1 m / s$

Final velocity $= - \frac{2}{2} = - 1 m / s$

${\to P}_{i} = 0.4 N - s$

$\to P_{f} = - 0.4 N - s$

$\to J = {\to P}_{f} -_{i} = - 0.4 - 0.4 = - 0.8 N s (\to J = i m p u l s e)$

$| \to J | = 0.8$ Ns

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