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NEET
Exam
NEET
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET · Physics · Center of Mass, Momentum and Collision

The figure shows the position-time (x-t) graph of one-dimensional...

The figure shows the position-time (x−t)(x-t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is The figure shows the position-time (x-t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of

Options

  1. A(0.4 \mathrm{~N}-\mathrm{s})
  2. B(0.8 \mathrm{~N}-\mathrm{s})
  3. C(1.6 \mathrm{~N}-\mathrm{s})
  4. D(0.2 \mathrm{~N}-\mathrm{s})

Correct answer

B. (0.8 \mathrm{~N}-\mathrm{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, (v_1=\frac{2}{2}=1 \mathrm{~ms}^{-1}) Final velocity, (v_2=\frac{-2}{2}=-1 \mathrm{~ms}^{-1}) pi=mv1=0.4 N−spf=mv2=−0.4 N−sJ=pf−pi=−0.4−0.4=−0.8 N−s∴∣J∣=0.8 N−s\begin{aligned} & & \mathrm{p}_i & =m \mathrm{v}_1=0.4 \mathrm{~N}-\mathrm{s} \\ & & \mathrm{p}_f & =m \mathrm{v}_2=-0.4 \mathrm{~N}-\mathrm{s} \\ & & \mathrm{J} & =\mathrm{p}_f-\mathrm{p}_i=-0.4-0.4=-0.8 \mathrm{~N}-\mathrm{s} \\ \therefore & & |\mathrm{J}| & =0.8 \mathrm{~N}-\mathrm{s} \end{aligned})$
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