Q. 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

A) 0.4 Ns
B) 0.8 Ns
C) 1.6 Ns
D) 0.2 Ns
Explanation

(b) 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.
$Initial\ velocity\ \mathbf{v}_{1} = \frac{2}{2} = 1\ {ms}^{- 1}$
$Final\ velocity\ \mathbf{v}_{2} = \frac{- 2}{2} = - 1\ {ms}^{- 1}$
$\mathbf{p}_{i} = m\mathbf{v}_{1} = 0.4\ Ns$
$\mathbf{p}_{f} = m\mathbf{v}_{2} = - 0.4\ Ns$
$\mathbf{J =}\mathbf{p}_{f} - \mathbf{p}_{i} = - 0.4 - 0.4$
$= - 0.8\ Ns\ \ (\mathbf{J =}impulse)$
$\mathbf{\therefore\ \ }\left| \mathbf{J} \right|\mathbf{=}0.8\ Ns$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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