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  4. Three particles A, B and C of equal mass move with equal speed v along the medians of an equilateral triangle as shown in figure. They collide at the centroid G of the triangle. After the collision, A comes to rest, B retraces its path with the speed v. What is the velocity of C ?

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Q. Three particles $A, B$ and $C$ of equal mass move with equal speed $v$ along the medians of an equilateral triangle as shown in figure. They collide at the centroid $G$ of the triangle. After the collision, $A$ comes to rest, $B$ retraces its path with the speed $v$. What is the velocity of $C$ ?Physics Question Image

IIT JEEIIT JEE 1982System of Particles and Rotational Motion

Solution:

Before collision net momentum of the system was zero.
No external force is acting on the system. Hence, momentum after collision should also be zero.
$A$ has come to rest. Therefore, $B$ and $C$ should have equal and opposite momenta or velocity of $C$ should be $v$ in opposite direction of velocity of $B$.