Rotational Motion Question 111
Question: An object of mass 3m splits into three equal fragments. Two fragments have velocities $v\hat{j}$ and $v\hat{i}$ . The velocity of the third fragment is
Options:
A)$v(\hat{j}-\hat{i})$
B) $v(\hat{i}-\hat{j})$
C)$-v(\hat{i}+\hat{j})$
D) $\frac{v(\hat{i}+\hat{j})}{\sqrt{2}}$
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Answer:
Correct Answer: C
Solution:
[c] Initial momentum of 3m mass =0 Due to explosion this mass splits into three fragments of equal masses.
Final momentum of system = $m\vec{V}+mv\hat{i}+mv\hat{j}$
(iii) By the law of conservation of linear momentum $m\vec{V}+mv\hat{i}+mv\hat{j}=0\Rightarrow \vec{V}=-v(\hat{i}+\hat{j})$
