Question

A system of two particles is having masses $m_1$ and $m_2.$ If the particle of mass $m_1$ is pushed towards the centre of mass of particles through a distance $d$, by what distance the particle of mass $m_2$ should be moved, so as to keep the centre of mass of particles at the original position?

• A. $\left(\frac{m_1}{m_1+m_2}\right)d$
• B. $d$
• C. $\left(\frac{m_1}{m_2}\right)d$
• D. $\left(\frac{m_2}{m_1}\right)d$

Answer 1

Answer: (C)

In two particles system, if the first particle is pushed towards the centre of mass through a distanced. Then to keep the centre of mass at the same position, the second particle should be moved by the distance
$=\left(\frac{m_1}{m_2}\right)d$