A shell of mass m moving with velocity v suddenly breaks into 2 pieces. part having mass m/3 remains

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4-1.Newton's Laws of Motion

easy

A shell of mass $m$ moving with velocity $v$ suddenly breaks into $2$ pieces. The part having mass $m/3$ remains stationary. The velocity of other part will be

A$\frac{2}{3}\,v$

B$\frac{7}{5}\,v$

C$\frac{3}{2}\,v$

Dnone of these

(AIIMS-2009)

Solution

According to momentum conservation.
$mv = m / 3$ $ \times \,0 + \frac{{2m}}{3}\,v'$
$mv = \frac{{2m}}{3}\,v'\,\,$
${v' = \frac{3}{2}v}$

Standard 11

Physics

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