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JIPMER 2004
Exam
JIPMER
Year
2004
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JIPMER 2004 · Physics · Center of Mass, Momentum and Collision

A particle of mass m moving with velocity v collides with a...

A particle of mass mm moving with velocity vv collides with a stationary particle of mass 2m2 m. The speed of the system, will be

Options

  1. A3v3 v
  2. Bv2\frac{v}{2}
  3. Cv3\frac{v}{3}
  4. D2v2 v

Correct answer

C. v3\frac{v}{3}

Step-by-step solution

According to conservation of momentum m1v1+m2v2=(m1+m2)v′mv+2m×0=(m+2m)v′\begin{gathered}m_1 v_1+m_2 v_2=\left(m_1+m_2\right) v^{\prime} \\ m v+2 m \times 0=(m+2 m) v^{\prime}\end{gathered} So, v′=v3v^{\prime}=\frac{v}{3}
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