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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

0.8 Ns

0.2 Ns

0.4 Ns

1.6 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=2/2=1m/sFinal velocity=-2/2=-1m/s→Pi=0.4N⋅s→Pf=-0.4N⋅s→J=→Pf-→Pi=-0.4-0.4=-0.8Ns(→J=impulse)|→J|=0.8Ns