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AIIMS 2005
Exam
AIIMS
Year
2005
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

AIIMS 2005 · Physics · Center of Mass, Momentum and Collision

In the figure given, the position-time graph of a particle of mass...

In the figure given, the position-time graph of a particle of mass 0.1 kg0.1 \mathrm{~kg} is shown. The impulse at t=2sect=2 \mathrm{sec} is In the figure given, the position-time graph of a particle of mass 0.1 ~kg is shown. The impulse at t=2 sec is

Options

  1. A0.2 kg msec−10.2 \mathrm{~kg} \mathrm{~m} \mathrm{sec}^{-1}
  2. B−0.2 kg msec−1-0.2 \mathrm{~kg} \mathrm{~m} \mathrm{sec}{ }^{-1}
  3. C0.1 kg msec−10.1 \mathrm{~kg} \mathrm{~m} \mathrm{sec}{ }^{-1}
  4. D−0.4 kg msec−1-0.4 \mathrm{~kg} \mathrm{~m} \mathrm{sec}{ }^{-1}

Correct answer

A. 0.2 kg msec−10.2 \mathrm{~kg} \mathrm{~m} \mathrm{sec}^{-1}

Step-by-step solution

Impulse = change in momentum =m Δ\Deltav=mΔxΔt=\frac{m \Delta x}{\Delta t}=0.1 ×4−02−0=\times \frac{4-0}{2-0}=0.2  kgmsec−1. \mathrm{~kg} \mathrm{msec}^{-1} \text{. }
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