Question

A 6.00 kg object at rest is suddenly broken apart into two fragments by an explosion. The fragment with mass 3.50 kg is moving 24.0m/s to the left. The other fragment is moving _______m/s to the right. Group of answer choices

Answer 1

Answer: 33.6 m/s

Explanation:

Given

The initial mass of the object is $6\ kg$

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.

$\therefore 6\times 0=3.5\times 24-2.5\times v\\\Rightarrow 3.5\times 24=2.5\times v\\\\\Rightarrow v=33.6\ m/s$

Therefore, the velocity of 2.5 kg mass is 33.6 m/s towards right.