Answer: 33.6 m/s
Step-by-step explanation:
Given
The initial mass of the object is
![6\ kg](https://img.qammunity.org/2022/formulas/physics/college/loeh63o0wskea61ppz7ovusrbhi0mg0e4s.png)
It breaks into two fragments of 3.5 and 2.5 kg
3.5 kg part moves at 24 m/s towards left
Suppose 2.5 kg part moves with a speed of v towards the right
As the center of mass is at rest before the collision, it continues to remain at rest after the collision.
![\therefore 6* 0=3.5* 24-2.5* v\\\Rightarrow 3.5* 24=2.5* v\\\\\Rightarrow v=33.6\ m/s](https://img.qammunity.org/2022/formulas/physics/college/nhj7hpc74y93u7ampi46cs4vrvl50ryw11.png)
Therefore, the velocity of 2.5 kg mass is 33.6 m/s towards right.