Question
A nonzero external force acts on a system of particles. The velocity and the acceleration of the centre of mass are found to be v0 and a0 at instant t. It is possible that:

  1. $\text{v}_0=0,\ \text{a}_0=0$

  2. $\text{v}_0=0,\ \text{a}_0\neq0$

  3. $\text{v}_0\neq0,\ \text{a}_0=0$

  4. $\text{v}_0\neq0,\ \text{a}_0\neq0$

Answer

  1. $\text{v}_0=0,\ \text{a}_0\neq0$
  1. $\text{v}_0\neq0,\ \text{a}_0\neq0$

Explanation:

If a non-zero external force acts on a system of particles, it causes the centre of mass of the system to accelerate with acceleration a0 at any instant t. In such a case, the velocity of centre of mass of the system of particles is either v0 or zero.

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