MHT CET · Physics · Motion In One Dimension
A body of mass 'M' moving with velocity 'V' explodes into two equal parts. If one part comes to rest and the other part moves with velocity ' \(\mathrm{v}_{0}\) ', what would be the value of \(^{\prime} \mathrm{V}_{0}\) '?
- A V
- B \(\frac{\mathrm{V}}{\sqrt{2}}\)
- C \(2 \mathrm{~V}\)
- D \(4 \mathrm{~V}\)
Answer & Solution
Correct Answer
(C) \(2 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
conservation of linear momentum
\(\begin{aligned} \text { initial } &=\text { final } \\ \text { MV } &=\frac{m}{2}(0)+\frac{m}{2}(u) \\ M V &=\frac{M}{2} u \\ u &=2 v \end{aligned}\)
\(\begin{aligned} \text { initial } &=\text { final } \\ \text { MV } &=\frac{m}{2}(0)+\frac{m}{2}(u) \\ M V &=\frac{M}{2} u \\ u &=2 v \end{aligned}\)
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