Two particles A and B,initially at rest,move | vedclass

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(A) The velocity of the centre of mass $(V_{CM})$ is given by the formula $V_{CM} = \frac{m_A v_A + m_B v_B}{m_A + m_B}$.Since the particles are initi

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Zero

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(A) The velocity of the centre of mass $(V_{CM})$ is given by the formula $V_{CM} = \frac{m_A v_A + m_B v_B}{m_A + m_B}$.Since the particles are initially at rest,the initial momentum of the system is zero.According to the law of conservation of linear momentum,if the net external force on a system is zero,the velocity of the centre of mass remains constant.In this case,the only forces acting are mutual forces of attraction (internal forces),so the net external force is zero.Since the initial velocity of the centre of mass was zero,it must remain zero at all times.

Two particles $A$ and $B$,initially at rest,move towards each other under a mutual force of attraction. At an instance when the speed of $A$ is $v$ and the speed of $B$ is $2v$,the speed of the centre of mass $(CM)$ is:

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