A shell of mass m moving with velocity v suddenly breaks into 2 pieces. part having mass m/4 remains

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4-1.Newton's Laws of Motion

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A shell of mass $m$ moving with velocity $ v$ suddenly breaks into $2$ pieces. The part having mass $m/4$ remains stationary. The velocity of the other shell will be

$v$

$2v$

$\frac{3}{4}v$

$\frac{4}{3}v$

Solution

(d)According to conservation of momentum
$mv = \left( {\frac{m}{4}} \right)\;{v_1} + \left( {\frac{{3m}}{4}} \right)\;{v_2}$ $⇒$ ${v_2} = \frac{4}{3}v$

Standard 11

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A shell of mass $m$ moving with velocity $ v$ suddenly breaks into $2$ pieces. The part having mass $m/4$ remains stationary. The velocity of the other shell will be

Solution

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