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JEE Main 2006
Exam
JEE Main
Year
2006
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2006 · Physics · Center of Mass, Momentum and Collision

Consider a two particle system with particles having masses m_1 and...

Consider a two particle system with particles having masses m1m_1 and m2m_2. If the first particle is pushed towards the centre of mass through a distance dd, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

Options

  1. Ad\mathrm{d}
  2. Bm2m1 d\frac{m_2}{m_1} \mathrm{~d}
  3. Cm1m1+m2d\frac{m_1}{m_1+m_2} d
  4. Dm1 m2 d\frac{\mathrm{m}_1}{\mathrm{~m}_2} \mathrm{~d}

Correct answer

D. m1 m2 d\frac{\mathrm{m}_1}{\mathrm{~m}_2} \mathrm{~d}

Step-by-step solution

m1d+m2x=0m_1 d+m_2 x=0 x=m1dm2x=\frac{m_1 d}{m_2}
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