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NEET · Physics · STD 11 - 5. work,energy,power and collision
A particle of mass \(5 \;\mathrm{m}\) at rest suddenly breaks on its own into three fragments. Two fragments of mass \(m\) each move along mutually perpendicetion with speed \(v\) each. The energy released during the process is
- A \(\frac{3}{5} \mathrm{mv}^{2}\)
- B \(\frac{5}{3} \mathrm{mv}^{2}\)
- C \(\frac{3}{2} \mathrm{mv}^{2}\)
- D \(\frac{4}{3} \mathrm{mv}^{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{4}{3} \mathrm{mv}^{2}\)
Step-by-step Solution
Detailed explanation
\(3 m \bar{v}+m v \hat{i}+m v \hat{j}=0\) \(\Rightarrow \bar{v}=-\frac{v}{3} \hat{i}--\frac{v}{3} \hat{j} \quad|\bar{v}|=\sqrt{2} \frac{v}{3}\)
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