A body of mass $2\, kg $ moving with a velocity of $3 \,m/sec$ collides head on with a body of mass $1\, kg$ moving in opposite direction with a velocity of $4 \,m/sec$. After collision, two bodies stick together and move with a common velocity which in m/sec is equal to
A body of mass $2\, kg $ moving with a velocity of $3 \,m/sec$ collides head on with a body of mass $1\, kg$ moving in opposite direction with a velocity of $4 \,m/sec$. After collision, two bodies stick together and move with a common velocity which in m/sec is equal to
$1/4$
$1/3$
$2/3$
$3/4$
A body of mass $2\, kg $ moving with a velocity of $3 \,m/sec$ collides head on with a body of mass $1\, kg$ moving in opposite direction with a velocity of $4 \,m/sec$. After collision, two bodies stick together and move with a common velocity which in m/sec is equal to
${m_1}{v_1} - {m_2}{v_2} = ({m_1} + {m_2})v$
$⇒$ $2 \times 3 - 1 \times 4 = (2 + 1)\;v$
$⇒$ $v = \frac{2}{3}\;m/s$
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