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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2008 · Physics · Center of Mass, Momentum and Collision

A shell of mass 200 gm is ejected from a gun of mass 4 ~kg by an...

A shell of mass 200gm200 \mathrm{gm} is ejected from a gun of mass 4 kg4 \mathrm{~kg} by an explosion that generates 1.05 kJ1.05 \mathrm{~kJ} of energy. The initial velocity of the shell is

Options

  1. A120 ms−1120 \mathrm{~ms}^{-1}
  2. B100 ms−1100 \mathrm{~ms}^{-1}
  3. C80 ms−180 \mathrm{~ms}^{-1}
  4. D40 ms−140 \mathrm{~ms}^{-1}

Correct answer

B. 100 ms−1100 \mathrm{~ms}^{-1}

Step-by-step solution

Let the initial velocity of the shell be v\mathrm{v}, then velocity of gun is \left(\frac{0.2 v}{4}\right).(fromconservationoflinarmoment)Now. (from conservation of linar moment) Now1.05 \times 10^3=\frac{1}{2}(0.2) v^2+\frac{1}{2}(4)\left(\frac{0.2 v}{4}\right)^2 \Rightarrow v=100 \mathrm{~m} / \mathrm{s}
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