An object of mass 3,m splits into three equal fragments. Two fragments have velocities vhat{j} and v

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4-1.Newton's Laws of Motion

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An object of mass $3\,m$ splits into three equal fragments. Two fragments have velocities $v\hat j$ and $v\hat i$. The velocity of the third fragment is

$v(\hat j - \hat i)$

$v(\hat i - \hat j)$

$ - v(\hat i + \hat j)$

$\frac{{v(\hat i + \hat j)}}{{\sqrt 2 }}$

Solution

(c)Initial momentum of $3\,m$ mass $= 0$ …(i)
Due to explosion this mass splits into three fragments of equal masses.
Final momentum of system = $m\vec V + mv\hat i + mv\hat j$…(ii)
By the law of conservation of linear momentum
$m\vec V + mv\hat i + mv\hat j = 0$==> $\vec V = – v(\hat i + \hat j)$

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Solution

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