IMathAS-libretexts

A stationary object explodes, breaking into three pieces of masses $\displaystyle {m}$ , $\displaystyle {m}$ , and $\displaystyle {3}{m}$ . The two pieces of mass $\displaystyle {m}$ move off at right angles to each other with the same magnitude of momentum $\displaystyle {m}{V}$ , as shown in the diagram above. What are the magnitude and direction of the velocity of the piece having mass $\displaystyle {3}{m}$ ?

Magnitude:

$\displaystyle \frac{{V}}{\sqrt{{3}}}$
$\displaystyle \sqrt{{2}}\frac{{V}}{{3}}$
$\displaystyle \sqrt{{2}}{V}$
$\displaystyle {2}{V}$

Direction:

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