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KCET · Physics · Center of Mass Momentum and Collision

Two particles which are initially at rest move towards each other under the action of their
mutual attraction. If their speeds are \( v \) and \( 2 v \) at any instant, then the speed of center of mass
of the system is,

  1. A \( 1.5 \mathrm{v} \)
  2. B \( 2 \mathrm{v} \)
  3. C \( \mathrm{v} \)
  4. D zero
Verified Solution

Answer & Solution

Correct Answer

(D) zero

Step-by-step Solution

Detailed explanation

(D)
At initial position both \( A \) and \( B \) are at rest, hence, momentum is zero. It is given that no external force isacting on them.
So, momentum remains zero. Since mass cannot be zero, therefore velocity is zero.
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